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Finding the Third Proportional to 67,008.38 and 103,661.44

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Solution

The third proportional to 67,008.38 and 103,661.44 is: 160,363.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,008.38 : 103,661.44 = 103,661.44 : x
  2. Step 2: Convert to fraction form
    67,008.38/103,661.44 = 103,661.44/x
  3. Step 3: Cross multiply
    67,008.38x = 103,661.44 × 103,661.44
  4. Step 4: Simplify right side
    67,008.38x = 10,745,693,624.57
  5. Step 5: Solve for x
    x = 10,745,693,624.57/67,008.38
  6. Step 6: Final answer
    x = 160,363.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.