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Finding the Third Proportional to 60,686.75 and 132,024.75

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Solution

The third proportional to 60,686.75 and 132,024.75 is: 287,221.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,686.75 : 132,024.75 = 132,024.75 : x
  2. Step 2: Convert to fraction form
    60,686.75/132,024.75 = 132,024.75/x
  3. Step 3: Cross multiply
    60,686.75x = 132,024.75 × 132,024.75
  4. Step 4: Simplify right side
    60,686.75x = 17,430,534,612.56
  5. Step 5: Solve for x
    x = 17,430,534,612.56/60,686.75
  6. Step 6: Final answer
    x = 287,221.42

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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.