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Finding the Third Proportional to 52,535 and 121,496

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Solution

The third proportional to 52,535 and 121,496 is: 280,979.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,535 : 121,496 = 121,496 : x
  2. Step 2: Convert to fraction form
    52,535/121,496 = 121,496/x
  3. Step 3: Cross multiply
    52,535x = 121,496 × 121,496
  4. Step 4: Simplify right side
    52,535x = 14,761,278,016
  5. Step 5: Solve for x
    x = 14,761,278,016/52,535
  6. Step 6: Final answer
    x = 280,979.88

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.