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Finding the Third Proportional to 62,386 and 93,498

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Solution

The third proportional to 62,386 and 93,498 is: 140,125.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,386 : 93,498 = 93,498 : x
  2. Step 2: Convert to fraction form
    62,386/93,498 = 93,498/x
  3. Step 3: Cross multiply
    62,386x = 93,498 × 93,498
  4. Step 4: Simplify right side
    62,386x = 8,741,876,004
  5. Step 5: Solve for x
    x = 8,741,876,004/62,386
  6. Step 6: Final answer
    x = 140,125.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.