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Finding the Third Proportional to 137,060 and 156,743

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Solution

The third proportional to 137,060 and 156,743 is: 179,252.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,060 : 156,743 = 156,743 : x
  2. Step 2: Convert to fraction form
    137,060/156,743 = 156,743/x
  3. Step 3: Cross multiply
    137,060x = 156,743 × 156,743
  4. Step 4: Simplify right side
    137,060x = 24,568,368,049
  5. Step 5: Solve for x
    x = 24,568,368,049/137,060
  6. Step 6: Final answer
    x = 179,252.65

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.