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Finding the Third Proportional to 126,289.31 and 268,145.81

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Solution

The third proportional to 126,289.31 and 268,145.81 is: 569,344.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,289.31 : 268,145.81 = 268,145.81 : x
  2. Step 2: Convert to fraction form
    126,289.31/268,145.81 = 268,145.81/x
  3. Step 3: Cross multiply
    126,289.31x = 268,145.81 × 268,145.81
  4. Step 4: Simplify right side
    126,289.31x = 71,902,176,761.29
  5. Step 5: Solve for x
    x = 71,902,176,761.29/126,289.31
  6. Step 6: Final answer
    x = 569,344.91

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.