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Finding the Third Proportional to 71,927 and 106,496

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Solution

The third proportional to 71,927 and 106,496 is: 157,679.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,927 : 106,496 = 106,496 : x
  2. Step 2: Convert to fraction form
    71,927/106,496 = 106,496/x
  3. Step 3: Cross multiply
    71,927x = 106,496 × 106,496
  4. Step 4: Simplify right side
    71,927x = 11,341,398,016
  5. Step 5: Solve for x
    x = 11,341,398,016/71,927
  6. Step 6: Final answer
    x = 157,679.29

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.