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Finding the Third Proportional to 67,215.25 and 103,172.75

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Solution

The third proportional to 67,215.25 and 103,172.75 is: 158,366.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,215.25 : 103,172.75 = 103,172.75 : x
  2. Step 2: Convert to fraction form
    67,215.25/103,172.75 = 103,172.75/x
  3. Step 3: Cross multiply
    67,215.25x = 103,172.75 × 103,172.75
  4. Step 4: Simplify right side
    67,215.25x = 10,644,616,342.56
  5. Step 5: Solve for x
    x = 10,644,616,342.56/67,215.25
  6. Step 6: Final answer
    x = 158,366.09

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.