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Finding the Third Proportional to 62,234 and 136,566

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Solution

The third proportional to 62,234 and 136,566 is: 299,679.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,234 : 136,566 = 136,566 : x
  2. Step 2: Convert to fraction form
    62,234/136,566 = 136,566/x
  3. Step 3: Cross multiply
    62,234x = 136,566 × 136,566
  4. Step 4: Simplify right side
    62,234x = 18,650,272,356
  5. Step 5: Solve for x
    x = 18,650,272,356/62,234
  6. Step 6: Final answer
    x = 299,679.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.