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Finding the Third Proportional to 75,134 and 112,467

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Solution

The third proportional to 75,134 and 112,467 is: 168,350.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,134 : 112,467 = 112,467 : x
  2. Step 2: Convert to fraction form
    75,134/112,467 = 112,467/x
  3. Step 3: Cross multiply
    75,134x = 112,467 × 112,467
  4. Step 4: Simplify right side
    75,134x = 12,648,826,089
  5. Step 5: Solve for x
    x = 12,648,826,089/75,134
  6. Step 6: Final answer
    x = 168,350.23

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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.