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Finding the Third Proportional to 64,743 and 87,474

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Solution

The third proportional to 64,743 and 87,474 is: 118,185.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,743 : 87,474 = 87,474 : x
  2. Step 2: Convert to fraction form
    64,743/87,474 = 87,474/x
  3. Step 3: Cross multiply
    64,743x = 87,474 × 87,474
  4. Step 4: Simplify right side
    64,743x = 7,651,700,676
  5. Step 5: Solve for x
    x = 7,651,700,676/64,743
  6. Step 6: Final answer
    x = 118,185.76

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.