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Finding the Third Proportional to 107,940 and 252,108

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Solution

The third proportional to 107,940 and 252,108 is: 588,831.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,940 : 252,108 = 252,108 : x
  2. Step 2: Convert to fraction form
    107,940/252,108 = 252,108/x
  3. Step 3: Cross multiply
    107,940x = 252,108 × 252,108
  4. Step 4: Simplify right side
    107,940x = 63,558,443,664
  5. Step 5: Solve for x
    x = 63,558,443,664/107,940
  6. Step 6: Final answer
    x = 588,831.24

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.