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Finding the Third Proportional to 60,013 and 129,320.75

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Solution

The third proportional to 60,013 and 129,320.75 is: 278,670.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,013 : 129,320.75 = 129,320.75 : x
  2. Step 2: Convert to fraction form
    60,013/129,320.75 = 129,320.75/x
  3. Step 3: Cross multiply
    60,013x = 129,320.75 × 129,320.75
  4. Step 4: Simplify right side
    60,013x = 16,723,856,380.56
  5. Step 5: Solve for x
    x = 16,723,856,380.56/60,013
  6. Step 6: Final answer
    x = 278,670.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.