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Finding the Third Proportional to 71,293.50 and 151,294.50

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Solution

The third proportional to 71,293.50 and 151,294.50 is: 321,067.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,293.50 : 151,294.50 = 151,294.50 : x
  2. Step 2: Convert to fraction form
    71,293.50/151,294.50 = 151,294.50/x
  3. Step 3: Cross multiply
    71,293.50x = 151,294.50 × 151,294.50
  4. Step 4: Simplify right side
    71,293.50x = 22,890,025,730.25
  5. Step 5: Solve for x
    x = 22,890,025,730.25/71,293.50
  6. Step 6: Final answer
    x = 321,067.50

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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.