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Finding the Third Proportional to 112,074 and 156,102

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Solution

The third proportional to 112,074 and 156,102 is: 217,426.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,074 : 156,102 = 156,102 : x
  2. Step 2: Convert to fraction form
    112,074/156,102 = 156,102/x
  3. Step 3: Cross multiply
    112,074x = 156,102 × 156,102
  4. Step 4: Simplify right side
    112,074x = 24,367,834,404
  5. Step 5: Solve for x
    x = 24,367,834,404/112,074
  6. Step 6: Final answer
    x = 217,426.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.