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Finding the Third Proportional to 37,199.25 and 80,279.02

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Solution

The third proportional to 37,199.25 and 80,279.02 is: 173,248.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,199.25 : 80,279.02 = 80,279.02 : x
  2. Step 2: Convert to fraction form
    37,199.25/80,279.02 = 80,279.02/x
  3. Step 3: Cross multiply
    37,199.25x = 80,279.02 × 80,279.02
  4. Step 4: Simplify right side
    37,199.25x = 6,444,720,349.72
  5. Step 5: Solve for x
    x = 6,444,720,349.72/37,199.25
  6. Step 6: Final answer
    x = 173,248.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.