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Finding the Third Proportional to 120,792.75 and 177,637.13

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Solution

The third proportional to 120,792.75 and 177,637.13 is: 261,232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,792.75 : 177,637.13 = 177,637.13 : x
  2. Step 2: Convert to fraction form
    120,792.75/177,637.13 = 177,637.13/x
  3. Step 3: Cross multiply
    120,792.75x = 177,637.13 × 177,637.13
  4. Step 4: Simplify right side
    120,792.75x = 31,554,948,178.27
  5. Step 5: Solve for x
    x = 31,554,948,178.27/120,792.75
  6. Step 6: Final answer
    x = 261,232.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.