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Finding the Third Proportional to 54,973.69 and 87,115.50

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Solution

The third proportional to 54,973.69 and 87,115.50 is: 138,049.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,973.69 : 87,115.50 = 87,115.50 : x
  2. Step 2: Convert to fraction form
    54,973.69/87,115.50 = 87,115.50/x
  3. Step 3: Cross multiply
    54,973.69x = 87,115.50 × 87,115.50
  4. Step 4: Simplify right side
    54,973.69x = 7,589,110,340.25
  5. Step 5: Solve for x
    x = 7,589,110,340.25/54,973.69
  6. Step 6: Final answer
    x = 138,049.87

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.