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Finding the Third Proportional to 85,762 and 132,531

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Solution

The third proportional to 85,762 and 132,531 is: 204,804.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,762 : 132,531 = 132,531 : x
  2. Step 2: Convert to fraction form
    85,762/132,531 = 132,531/x
  3. Step 3: Cross multiply
    85,762x = 132,531 × 132,531
  4. Step 4: Simplify right side
    85,762x = 17,564,465,961
  5. Step 5: Solve for x
    x = 17,564,465,961/85,762
  6. Step 6: Final answer
    x = 204,804.76

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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.