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Finding the Third Proportional to 60,284.75 and 132,392.75

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Solution

The third proportional to 60,284.75 and 132,392.75 is: 290,750.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,284.75 : 132,392.75 = 132,392.75 : x
  2. Step 2: Convert to fraction form
    60,284.75/132,392.75 = 132,392.75/x
  3. Step 3: Cross multiply
    60,284.75x = 132,392.75 × 132,392.75
  4. Step 4: Simplify right side
    60,284.75x = 17,527,840,252.56
  5. Step 5: Solve for x
    x = 17,527,840,252.56/60,284.75
  6. Step 6: Final answer
    x = 290,750.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.