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Finding the Third Proportional to 67,386.94 and 160,243.31

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Solution

The third proportional to 67,386.94 and 160,243.31 is: 381,051.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,386.94 : 160,243.31 = 160,243.31 : x
  2. Step 2: Convert to fraction form
    67,386.94/160,243.31 = 160,243.31/x
  3. Step 3: Cross multiply
    67,386.94x = 160,243.31 × 160,243.31
  4. Step 4: Simplify right side
    67,386.94x = 25,677,919,200.97
  5. Step 5: Solve for x
    x = 25,677,919,200.97/67,386.94
  6. Step 6: Final answer
    x = 381,051.88

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These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.