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Finding the Third Proportional to 37,275.19 and 80,112.38

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Solution

The third proportional to 37,275.19 and 80,112.38 is: 172,178.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,275.19 : 80,112.38 = 80,112.38 : x
  2. Step 2: Convert to fraction form
    37,275.19/80,112.38 = 80,112.38/x
  3. Step 3: Cross multiply
    37,275.19x = 80,112.38 × 80,112.38
  4. Step 4: Simplify right side
    37,275.19x = 6,417,992,628.14
  5. Step 5: Solve for x
    x = 6,417,992,628.14/37,275.19
  6. Step 6: Final answer
    x = 172,178.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.