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Finding the Third Proportional to 60,999.33 and 132,180.61

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Solution

The third proportional to 60,999.33 and 132,180.61 is: 286,424.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,999.33 : 132,180.61 = 132,180.61 : x
  2. Step 2: Convert to fraction form
    60,999.33/132,180.61 = 132,180.61/x
  3. Step 3: Cross multiply
    60,999.33x = 132,180.61 × 132,180.61
  4. Step 4: Simplify right side
    60,999.33x = 17,471,713,494.75
  5. Step 5: Solve for x
    x = 17,471,713,494.75/60,999.33
  6. Step 6: Final answer
    x = 286,424.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.