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Finding the Third Proportional to 63,591 and 93,537

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Solution

The third proportional to 63,591 and 93,537 is: 137,585.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,591 : 93,537 = 93,537 : x
  2. Step 2: Convert to fraction form
    63,591/93,537 = 93,537/x
  3. Step 3: Cross multiply
    63,591x = 93,537 × 93,537
  4. Step 4: Simplify right side
    63,591x = 8,749,170,369
  5. Step 5: Solve for x
    x = 8,749,170,369/63,591
  6. Step 6: Final answer
    x = 137,585.04

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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.