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Finding the Third Proportional to 63,680 and 93,588

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Solution

The third proportional to 63,680 and 93,588 is: 137,542.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,680 : 93,588 = 93,588 : x
  2. Step 2: Convert to fraction form
    63,680/93,588 = 93,588/x
  3. Step 3: Cross multiply
    63,680x = 93,588 × 93,588
  4. Step 4: Simplify right side
    63,680x = 8,758,713,744
  5. Step 5: Solve for x
    x = 8,758,713,744/63,680
  6. Step 6: Final answer
    x = 137,542.62

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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.