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Finding the Third Proportional to 85,962 and 132,831

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Solution

The third proportional to 85,962 and 132,831 is: 205,254.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,962 : 132,831 = 132,831 : x
  2. Step 2: Convert to fraction form
    85,962/132,831 = 132,831/x
  3. Step 3: Cross multiply
    85,962x = 132,831 × 132,831
  4. Step 4: Simplify right side
    85,962x = 17,644,074,561
  5. Step 5: Solve for x
    x = 17,644,074,561/85,962
  6. Step 6: Final answer
    x = 205,254.35

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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.