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Finding the Third Proportional to 59,464.13 and 81,540.56

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Solution

The third proportional to 59,464.13 and 81,540.56 is: 111,813.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,464.13 : 81,540.56 = 81,540.56 : x
  2. Step 2: Convert to fraction form
    59,464.13/81,540.56 = 81,540.56/x
  3. Step 3: Cross multiply
    59,464.13x = 81,540.56 × 81,540.56
  4. Step 4: Simplify right side
    59,464.13x = 6,648,863,332.82
  5. Step 5: Solve for x
    x = 6,648,863,332.82/59,464.13
  6. Step 6: Final answer
    x = 111,813.02

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.