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Finding the Third Proportional to 71,864 and 108,802

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Solution

The third proportional to 71,864 and 108,802 is: 164,726.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,864 : 108,802 = 108,802 : x
  2. Step 2: Convert to fraction form
    71,864/108,802 = 108,802/x
  3. Step 3: Cross multiply
    71,864x = 108,802 × 108,802
  4. Step 4: Simplify right side
    71,864x = 11,837,875,204
  5. Step 5: Solve for x
    x = 11,837,875,204/71,864
  6. Step 6: Final answer
    x = 164,726.08

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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.