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Finding the Third Proportional to 60,864.75 and 132,792.75

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Solution

The third proportional to 60,864.75 and 132,792.75 is: 289,722.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,864.75 : 132,792.75 = 132,792.75 : x
  2. Step 2: Convert to fraction form
    60,864.75/132,792.75 = 132,792.75/x
  3. Step 3: Cross multiply
    60,864.75x = 132,792.75 × 132,792.75
  4. Step 4: Simplify right side
    60,864.75x = 17,633,914,452.56
  5. Step 5: Solve for x
    x = 17,633,914,452.56/60,864.75
  6. Step 6: Final answer
    x = 289,722.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.