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Finding the Third Proportional to 48,463 and 102,680

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Solution

The third proportional to 48,463 and 102,680 is: 217,551.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,463 : 102,680 = 102,680 : x
  2. Step 2: Convert to fraction form
    48,463/102,680 = 102,680/x
  3. Step 3: Cross multiply
    48,463x = 102,680 × 102,680
  4. Step 4: Simplify right side
    48,463x = 10,543,182,400
  5. Step 5: Solve for x
    x = 10,543,182,400/48,463
  6. Step 6: Final answer
    x = 217,551.17

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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.