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Finding the Third Proportional to 52,555 and 81,601

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Solution

The third proportional to 52,555 and 81,601 is: 126,700.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,555 : 81,601 = 81,601 : x
  2. Step 2: Convert to fraction form
    52,555/81,601 = 81,601/x
  3. Step 3: Cross multiply
    52,555x = 81,601 × 81,601
  4. Step 4: Simplify right side
    52,555x = 6,658,723,201
  5. Step 5: Solve for x
    x = 6,658,723,201/52,555
  6. Step 6: Final answer
    x = 126,700.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.