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Finding the Third Proportional to 62,331 and 87,462

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Solution

The third proportional to 62,331 and 87,462 is: 122,725.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,331 : 87,462 = 87,462 : x
  2. Step 2: Convert to fraction form
    62,331/87,462 = 87,462/x
  3. Step 3: Cross multiply
    62,331x = 87,462 × 87,462
  4. Step 4: Simplify right side
    62,331x = 7,649,601,444
  5. Step 5: Solve for x
    x = 7,649,601,444/62,331
  6. Step 6: Final answer
    x = 122,725.47

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.