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Finding the Third Proportional to 56,932 and 85,581

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Solution

The third proportional to 56,932 and 85,581 is: 128,646.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,932 : 85,581 = 85,581 : x
  2. Step 2: Convert to fraction form
    56,932/85,581 = 85,581/x
  3. Step 3: Cross multiply
    56,932x = 85,581 × 85,581
  4. Step 4: Simplify right side
    56,932x = 7,324,107,561
  5. Step 5: Solve for x
    x = 7,324,107,561/56,932
  6. Step 6: Final answer
    x = 128,646.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.