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Finding the Third Proportional to 51,864 and 82,566

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Solution

The third proportional to 51,864 and 82,566 is: 131,442.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,864 : 82,566 = 82,566 : x
  2. Step 2: Convert to fraction form
    51,864/82,566 = 82,566/x
  3. Step 3: Cross multiply
    51,864x = 82,566 × 82,566
  4. Step 4: Simplify right side
    51,864x = 6,817,144,356
  5. Step 5: Solve for x
    x = 6,817,144,356/51,864
  6. Step 6: Final answer
    x = 131,442.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.