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Finding the Third Proportional to 56,287 and 85,591

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Solution

The third proportional to 56,287 and 85,591 is: 130,151.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,287 : 85,591 = 85,591 : x
  2. Step 2: Convert to fraction form
    56,287/85,591 = 85,591/x
  3. Step 3: Cross multiply
    56,287x = 85,591 × 85,591
  4. Step 4: Simplify right side
    56,287x = 7,325,819,281
  5. Step 5: Solve for x
    x = 7,325,819,281/56,287
  6. Step 6: Final answer
    x = 130,151.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.