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Finding the Third Proportional to 37,135.69 and 80,189.63

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Solution

The third proportional to 37,135.69 and 80,189.63 is: 173,158.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,135.69 : 80,189.63 = 80,189.63 : x
  2. Step 2: Convert to fraction form
    37,135.69/80,189.63 = 80,189.63/x
  3. Step 3: Cross multiply
    37,135.69x = 80,189.63 × 80,189.63
  4. Step 4: Simplify right side
    37,135.69x = 6,430,375,957.64
  5. Step 5: Solve for x
    x = 6,430,375,957.64/37,135.69
  6. Step 6: Final answer
    x = 173,158.93

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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.