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Finding the Third Proportional to 71,935 and 108,902

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Solution

The third proportional to 71,935 and 108,902 is: 164,866.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,935 : 108,902 = 108,902 : x
  2. Step 2: Convert to fraction form
    71,935/108,902 = 108,902/x
  3. Step 3: Cross multiply
    71,935x = 108,902 × 108,902
  4. Step 4: Simplify right side
    71,935x = 11,859,645,604
  5. Step 5: Solve for x
    x = 11,859,645,604/71,935
  6. Step 6: Final answer
    x = 164,866.14

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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.