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Finding the Third Proportional to 37,132.13 and 80,182.69

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Solution

The third proportional to 37,132.13 and 80,182.69 is: 173,145.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,132.13 : 80,182.69 = 80,182.69 : x
  2. Step 2: Convert to fraction form
    37,132.13/80,182.69 = 80,182.69/x
  3. Step 3: Cross multiply
    37,132.13x = 80,182.69 × 80,182.69
  4. Step 4: Simplify right side
    37,132.13x = 6,429,263,374.72
  5. Step 5: Solve for x
    x = 6,429,263,374.72/37,132.13
  6. Step 6: Final answer
    x = 173,145.58

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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.