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Finding the Third Proportional to 60,538.75 and 131,976.69

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Solution

The third proportional to 60,538.75 and 131,976.69 is: 287,714.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,538.75 : 131,976.69 = 131,976.69 : x
  2. Step 2: Convert to fraction form
    60,538.75/131,976.69 = 131,976.69/x
  3. Step 3: Cross multiply
    60,538.75x = 131,976.69 × 131,976.69
  4. Step 4: Simplify right side
    60,538.75x = 17,417,846,043.47
  5. Step 5: Solve for x
    x = 17,417,846,043.47/60,538.75
  6. Step 6: Final answer
    x = 287,714.00

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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.