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Finding the Third Proportional to 57,734 and 86,367

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Solution

The third proportional to 57,734 and 86,367 is: 129,200.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,734 : 86,367 = 86,367 : x
  2. Step 2: Convert to fraction form
    57,734/86,367 = 86,367/x
  3. Step 3: Cross multiply
    57,734x = 86,367 × 86,367
  4. Step 4: Simplify right side
    57,734x = 7,459,258,689
  5. Step 5: Solve for x
    x = 7,459,258,689/57,734
  6. Step 6: Final answer
    x = 129,200.45

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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.