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Finding the Third Proportional to 59,141.25 and 126,024.47

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Solution

The third proportional to 59,141.25 and 126,024.47 is: 268,546.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,141.25 : 126,024.47 = 126,024.47 : x
  2. Step 2: Convert to fraction form
    59,141.25/126,024.47 = 126,024.47/x
  3. Step 3: Cross multiply
    59,141.25x = 126,024.47 × 126,024.47
  4. Step 4: Simplify right side
    59,141.25x = 15,882,166,723.72
  5. Step 5: Solve for x
    x = 15,882,166,723.72/59,141.25
  6. Step 6: Final answer
    x = 268,546.35

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.