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Finding the Third Proportional to 57,478 and 86,296

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Solution

The third proportional to 57,478 and 86,296 is: 129,562.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,478 : 86,296 = 86,296 : x
  2. Step 2: Convert to fraction form
    57,478/86,296 = 86,296/x
  3. Step 3: Cross multiply
    57,478x = 86,296 × 86,296
  4. Step 4: Simplify right side
    57,478x = 7,446,999,616
  5. Step 5: Solve for x
    x = 7,446,999,616/57,478
  6. Step 6: Final answer
    x = 129,562.61

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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.