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Finding the Third Proportional to 127,612.50 and 190,174.50

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Solution

The third proportional to 127,612.50 and 190,174.50 is: 283,407.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,612.50 : 190,174.50 = 190,174.50 : x
  2. Step 2: Convert to fraction form
    127,612.50/190,174.50 = 190,174.50/x
  3. Step 3: Cross multiply
    127,612.50x = 190,174.50 × 190,174.50
  4. Step 4: Simplify right side
    127,612.50x = 36,166,340,450.25
  5. Step 5: Solve for x
    x = 36,166,340,450.25/127,612.50
  6. Step 6: Final answer
    x = 283,407.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.