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Finding the Third Proportional to 57,725 and 86,756

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Solution

The third proportional to 57,725 and 86,756 is: 130,387.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,725 : 86,756 = 86,756 : x
  2. Step 2: Convert to fraction form
    57,725/86,756 = 86,756/x
  3. Step 3: Cross multiply
    57,725x = 86,756 × 86,756
  4. Step 4: Simplify right side
    57,725x = 7,526,603,536
  5. Step 5: Solve for x
    x = 7,526,603,536/57,725
  6. Step 6: Final answer
    x = 130,387.24

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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.