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Finding the Third Proportional to 57,598.88 and 126,269.02

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Solution

The third proportional to 57,598.88 and 126,269.02 is: 276,808.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,598.88 : 126,269.02 = 126,269.02 : x
  2. Step 2: Convert to fraction form
    57,598.88/126,269.02 = 126,269.02/x
  3. Step 3: Cross multiply
    57,598.88x = 126,269.02 × 126,269.02
  4. Step 4: Simplify right side
    57,598.88x = 15,943,864,306.91
  5. Step 5: Solve for x
    x = 15,943,864,306.91/57,598.88
  6. Step 6: Final answer
    x = 276,808.61

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.