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Finding the Third Proportional to 67,711.57 and 145,828.48

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Solution

The third proportional to 67,711.57 and 145,828.48 is: 314,066.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,711.57 : 145,828.48 = 145,828.48 : x
  2. Step 2: Convert to fraction form
    67,711.57/145,828.48 = 145,828.48/x
  3. Step 3: Cross multiply
    67,711.57x = 145,828.48 × 145,828.48
  4. Step 4: Simplify right side
    67,711.57x = 21,265,944,576.54
  5. Step 5: Solve for x
    x = 21,265,944,576.54/67,711.57
  6. Step 6: Final answer
    x = 314,066.63

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.