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Finding the Third Proportional to 48,537 and 106,591

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Solution

The third proportional to 48,537 and 106,591 is: 234,082.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,537 : 106,591 = 106,591 : x
  2. Step 2: Convert to fraction form
    48,537/106,591 = 106,591/x
  3. Step 3: Cross multiply
    48,537x = 106,591 × 106,591
  4. Step 4: Simplify right side
    48,537x = 11,361,641,281
  5. Step 5: Solve for x
    x = 11,361,641,281/48,537
  6. Step 6: Final answer
    x = 234,082.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.