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Finding the Third Proportional to 69,158.25 and 151,708.50

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Solution

The third proportional to 69,158.25 and 151,708.50 is: 332,794.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,158.25 : 151,708.50 = 151,708.50 : x
  2. Step 2: Convert to fraction form
    69,158.25/151,708.50 = 151,708.50/x
  3. Step 3: Cross multiply
    69,158.25x = 151,708.50 × 151,708.50
  4. Step 4: Simplify right side
    69,158.25x = 23,015,468,972.25
  5. Step 5: Solve for x
    x = 23,015,468,972.25/69,158.25
  6. Step 6: Final answer
    x = 332,794.26

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.