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Finding the Third Proportional to 63,684 and 93,663

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Solution

The third proportional to 63,684 and 93,663 is: 137,754.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,684 : 93,663 = 93,663 : x
  2. Step 2: Convert to fraction form
    63,684/93,663 = 93,663/x
  3. Step 3: Cross multiply
    63,684x = 93,663 × 93,663
  4. Step 4: Simplify right side
    63,684x = 8,772,757,569
  5. Step 5: Solve for x
    x = 8,772,757,569/63,684
  6. Step 6: Final answer
    x = 137,754.50

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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.