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Finding the Third Proportional to 63,498 and 93,282

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Solution

The third proportional to 63,498 and 93,282 is: 137,036.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,498 : 93,282 = 93,282 : x
  2. Step 2: Convert to fraction form
    63,498/93,282 = 93,282/x
  3. Step 3: Cross multiply
    63,498x = 93,282 × 93,282
  4. Step 4: Simplify right side
    63,498x = 8,701,531,524
  5. Step 5: Solve for x
    x = 8,701,531,524/63,498
  6. Step 6: Final answer
    x = 137,036.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.