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Finding the Third Proportional to 137,062 and 156,745

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Solution

The third proportional to 137,062 and 156,745 is: 179,254.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,062 : 156,745 = 156,745 : x
  2. Step 2: Convert to fraction form
    137,062/156,745 = 156,745/x
  3. Step 3: Cross multiply
    137,062x = 156,745 × 156,745
  4. Step 4: Simplify right side
    137,062x = 24,568,995,025
  5. Step 5: Solve for x
    x = 24,568,995,025/137,062
  6. Step 6: Final answer
    x = 179,254.61

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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.