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Finding the Third Proportional to 71,766 and 153,981

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Solution

The third proportional to 71,766 and 153,981 is: 330,381.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,766 : 153,981 = 153,981 : x
  2. Step 2: Convert to fraction form
    71,766/153,981 = 153,981/x
  3. Step 3: Cross multiply
    71,766x = 153,981 × 153,981
  4. Step 4: Simplify right side
    71,766x = 23,710,148,361
  5. Step 5: Solve for x
    x = 23,710,148,361/71,766
  6. Step 6: Final answer
    x = 330,381.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.