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Finding the Third Proportional to 48,406 and 102,581

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Solution

The third proportional to 48,406 and 102,581 is: 217,387.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,406 : 102,581 = 102,581 : x
  2. Step 2: Convert to fraction form
    48,406/102,581 = 102,581/x
  3. Step 3: Cross multiply
    48,406x = 102,581 × 102,581
  4. Step 4: Simplify right side
    48,406x = 10,522,861,561
  5. Step 5: Solve for x
    x = 10,522,861,561/48,406
  6. Step 6: Final answer
    x = 217,387.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.