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Finding the Third Proportional to 80,752.25 and 176,887.75

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Solution

The third proportional to 80,752.25 and 176,887.75 is: 387,472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,752.25 : 176,887.75 = 176,887.75 : x
  2. Step 2: Convert to fraction form
    80,752.25/176,887.75 = 176,887.75/x
  3. Step 3: Cross multiply
    80,752.25x = 176,887.75 × 176,887.75
  4. Step 4: Simplify right side
    80,752.25x = 31,289,276,100.06
  5. Step 5: Solve for x
    x = 31,289,276,100.06/80,752.25
  6. Step 6: Final answer
    x = 387,472.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.