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Finding the Third Proportional to 60,132.75 and 130,512.75

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Solution

The third proportional to 60,132.75 and 130,512.75 is: 283,266.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,132.75 : 130,512.75 = 130,512.75 : x
  2. Step 2: Convert to fraction form
    60,132.75/130,512.75 = 130,512.75/x
  3. Step 3: Cross multiply
    60,132.75x = 130,512.75 × 130,512.75
  4. Step 4: Simplify right side
    60,132.75x = 17,033,577,912.56
  5. Step 5: Solve for x
    x = 17,033,577,912.56/60,132.75
  6. Step 6: Final answer
    x = 283,266.24

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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.