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Finding the Third Proportional to 67,350 and 141,675

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Solution

The third proportional to 67,350 and 141,675 is: 298,022.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,350 : 141,675 = 141,675 : x
  2. Step 2: Convert to fraction form
    67,350/141,675 = 141,675/x
  3. Step 3: Cross multiply
    67,350x = 141,675 × 141,675
  4. Step 4: Simplify right side
    67,350x = 20,071,805,625
  5. Step 5: Solve for x
    x = 20,071,805,625/67,350
  6. Step 6: Final answer
    x = 298,022.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.