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Finding the Third Proportional to 48,154 and 102,872

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Solution

The third proportional to 48,154 and 102,872 is: 219,766.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,154 : 102,872 = 102,872 : x
  2. Step 2: Convert to fraction form
    48,154/102,872 = 102,872/x
  3. Step 3: Cross multiply
    48,154x = 102,872 × 102,872
  4. Step 4: Simplify right side
    48,154x = 10,582,648,384
  5. Step 5: Solve for x
    x = 10,582,648,384/48,154
  6. Step 6: Final answer
    x = 219,766.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.