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Finding the Third Proportional to 60,825.94 and 130,642.03

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Solution

The third proportional to 60,825.94 and 130,642.03 is: 280,593.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,825.94 : 130,642.03 = 130,642.03 : x
  2. Step 2: Convert to fraction form
    60,825.94/130,642.03 = 130,642.03/x
  3. Step 3: Cross multiply
    60,825.94x = 130,642.03 × 130,642.03
  4. Step 4: Simplify right side
    60,825.94x = 17,067,340,329.13
  5. Step 5: Solve for x
    x = 17,067,340,329.13/60,825.94
  6. Step 6: Final answer
    x = 280,593.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.