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Finding the Third Proportional to 63,573 and 93,387

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Solution

The third proportional to 63,573 and 93,387 is: 137,182.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,573 : 93,387 = 93,387 : x
  2. Step 2: Convert to fraction form
    63,573/93,387 = 93,387/x
  3. Step 3: Cross multiply
    63,573x = 93,387 × 93,387
  4. Step 4: Simplify right side
    63,573x = 8,721,131,769
  5. Step 5: Solve for x
    x = 8,721,131,769/63,573
  6. Step 6: Final answer
    x = 137,182.95

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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.