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Finding the Third Proportional to 67,850 and 99,742

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Solution

The third proportional to 67,850 and 99,742 is: 146,624.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,850 : 99,742 = 99,742 : x
  2. Step 2: Convert to fraction form
    67,850/99,742 = 99,742/x
  3. Step 3: Cross multiply
    67,850x = 99,742 × 99,742
  4. Step 4: Simplify right side
    67,850x = 9,948,466,564
  5. Step 5: Solve for x
    x = 9,948,466,564/67,850
  6. Step 6: Final answer
    x = 146,624.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.