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Finding the Third Proportional to 48,466 and 102,686

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Solution

The third proportional to 48,466 and 102,686 is: 217,563.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,466 : 102,686 = 102,686 : x
  2. Step 2: Convert to fraction form
    48,466/102,686 = 102,686/x
  3. Step 3: Cross multiply
    48,466x = 102,686 × 102,686
  4. Step 4: Simplify right side
    48,466x = 10,544,414,596
  5. Step 5: Solve for x
    x = 10,544,414,596/48,466
  6. Step 6: Final answer
    x = 217,563.13

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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.