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Finding the Third Proportional to 60,538.64 and 131,976.42

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Solution

The third proportional to 60,538.64 and 131,976.42 is: 287,713.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,538.64 : 131,976.42 = 131,976.42 : x
  2. Step 2: Convert to fraction form
    60,538.64/131,976.42 = 131,976.42/x
  3. Step 3: Cross multiply
    60,538.64x = 131,976.42 × 131,976.42
  4. Step 4: Simplify right side
    60,538.64x = 17,417,775,930.93
  5. Step 5: Solve for x
    x = 17,417,775,930.93/60,538.64
  6. Step 6: Final answer
    x = 287,713.36

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