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Finding the Third Proportional to 48,246 and 102,864

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Solution

The third proportional to 48,246 and 102,864 is: 219,313.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,246 : 102,864 = 102,864 : x
  2. Step 2: Convert to fraction form
    48,246/102,864 = 102,864/x
  3. Step 3: Cross multiply
    48,246x = 102,864 × 102,864
  4. Step 4: Simplify right side
    48,246x = 10,581,002,496
  5. Step 5: Solve for x
    x = 10,581,002,496/48,246
  6. Step 6: Final answer
    x = 219,313.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.