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Finding the Third Proportional to 59,471.72 and 128,227.64

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Solution

The third proportional to 59,471.72 and 128,227.64 is: 276,473.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,471.72 : 128,227.64 = 128,227.64 : x
  2. Step 2: Convert to fraction form
    59,471.72/128,227.64 = 128,227.64/x
  3. Step 3: Cross multiply
    59,471.72x = 128,227.64 × 128,227.64
  4. Step 4: Simplify right side
    59,471.72x = 16,442,327,820.25
  5. Step 5: Solve for x
    x = 16,442,327,820.25/59,471.72
  6. Step 6: Final answer
    x = 276,473.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.