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Finding the Third Proportional to 69,744.38 and 151,078.50

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Solution

The third proportional to 69,744.38 and 151,078.50 is: 327,262.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,744.38 : 151,078.50 = 151,078.50 : x
  2. Step 2: Convert to fraction form
    69,744.38/151,078.50 = 151,078.50/x
  3. Step 3: Cross multiply
    69,744.38x = 151,078.50 × 151,078.50
  4. Step 4: Simplify right side
    69,744.38x = 22,824,713,162.25
  5. Step 5: Solve for x
    x = 22,824,713,162.25/69,744.38
  6. Step 6: Final answer
    x = 327,262.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.