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Finding the Third Proportional to 67,366 and 99,739

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Solution

The third proportional to 67,366 and 99,739 is: 147,668.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,366 : 99,739 = 99,739 : x
  2. Step 2: Convert to fraction form
    67,366/99,739 = 99,739/x
  3. Step 3: Cross multiply
    67,366x = 99,739 × 99,739
  4. Step 4: Simplify right side
    67,366x = 9,947,868,121
  5. Step 5: Solve for x
    x = 9,947,868,121/67,366
  6. Step 6: Final answer
    x = 147,668.97

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.