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Finding the Third Proportional to 37,110.50 and 80,881.50

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Solution

The third proportional to 37,110.50 and 80,881.50 is: 176,279.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,110.50 : 80,881.50 = 80,881.50 : x
  2. Step 2: Convert to fraction form
    37,110.50/80,881.50 = 80,881.50/x
  3. Step 3: Cross multiply
    37,110.50x = 80,881.50 × 80,881.50
  4. Step 4: Simplify right side
    37,110.50x = 6,541,817,042.25
  5. Step 5: Solve for x
    x = 6,541,817,042.25/37,110.50
  6. Step 6: Final answer
    x = 176,279.41

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.