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Finding the Third Proportional to 57,723 and 86,754

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Solution

The third proportional to 57,723 and 86,754 is: 130,385.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,723 : 86,754 = 86,754 : x
  2. Step 2: Convert to fraction form
    57,723/86,754 = 86,754/x
  3. Step 3: Cross multiply
    57,723x = 86,754 × 86,754
  4. Step 4: Simplify right side
    57,723x = 7,526,256,516
  5. Step 5: Solve for x
    x = 7,526,256,516/57,723
  6. Step 6: Final answer
    x = 130,385.75

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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.