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Finding the Third Proportional to 57,458 and 86,250

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Solution

The third proportional to 57,458 and 86,250 is: 129,469.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,458 : 86,250 = 86,250 : x
  2. Step 2: Convert to fraction form
    57,458/86,250 = 86,250/x
  3. Step 3: Cross multiply
    57,458x = 86,250 × 86,250
  4. Step 4: Simplify right side
    57,458x = 7,439,062,500
  5. Step 5: Solve for x
    x = 7,439,062,500/57,458
  6. Step 6: Final answer
    x = 129,469.57

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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.