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Finding the Third Proportional to 67,998 and 103,149

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Solution

The third proportional to 67,998 and 103,149 is: 156,471.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,998 : 103,149 = 103,149 : x
  2. Step 2: Convert to fraction form
    67,998/103,149 = 103,149/x
  3. Step 3: Cross multiply
    67,998x = 103,149 × 103,149
  4. Step 4: Simplify right side
    67,998x = 10,639,716,201
  5. Step 5: Solve for x
    x = 10,639,716,201/67,998
  6. Step 6: Final answer
    x = 156,471.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.