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Finding the Third Proportional to 127,998 and 192,003.75

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Solution

The third proportional to 127,998 and 192,003.75 is: 288,015.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,998 : 192,003.75 = 192,003.75 : x
  2. Step 2: Convert to fraction form
    127,998/192,003.75 = 192,003.75/x
  3. Step 3: Cross multiply
    127,998x = 192,003.75 × 192,003.75
  4. Step 4: Simplify right side
    127,998x = 36,865,440,014.06
  5. Step 5: Solve for x
    x = 36,865,440,014.06/127,998
  6. Step 6: Final answer
    x = 288,015.75

Related Problems

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.