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Finding the Third Proportional to 107,351 and 157,744

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Solution

The third proportional to 107,351 and 157,744 is: 231,792.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,351 : 157,744 = 157,744 : x
  2. Step 2: Convert to fraction form
    107,351/157,744 = 157,744/x
  3. Step 3: Cross multiply
    107,351x = 157,744 × 157,744
  4. Step 4: Simplify right side
    107,351x = 24,883,169,536
  5. Step 5: Solve for x
    x = 24,883,169,536/107,351
  6. Step 6: Final answer
    x = 231,792.62

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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.