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Finding the Third Proportional to 127,160 and 192,380.50

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Solution

The third proportional to 127,160 and 192,380.50 is: 291,052.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,160 : 192,380.50 = 192,380.50 : x
  2. Step 2: Convert to fraction form
    127,160/192,380.50 = 192,380.50/x
  3. Step 3: Cross multiply
    127,160x = 192,380.50 × 192,380.50
  4. Step 4: Simplify right side
    127,160x = 37,010,256,780.25
  5. Step 5: Solve for x
    x = 37,010,256,780.25/127,160
  6. Step 6: Final answer
    x = 291,052.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.