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Finding the Third Proportional to 60,266.11 and 129,601.97

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Solution

The third proportional to 60,266.11 and 129,601.97 is: 278,708.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,266.11 : 129,601.97 = 129,601.97 : x
  2. Step 2: Convert to fraction form
    60,266.11/129,601.97 = 129,601.97/x
  3. Step 3: Cross multiply
    60,266.11x = 129,601.97 × 129,601.97
  4. Step 4: Simplify right side
    60,266.11x = 16,796,670,303.88
  5. Step 5: Solve for x
    x = 16,796,670,303.88/60,266.11
  6. Step 6: Final answer
    x = 278,708.39

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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.