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Finding the Third Proportional to 80,112.50 and 170,947.50

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Solution

The third proportional to 80,112.50 and 170,947.50 is: 364,775.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,112.50 : 170,947.50 = 170,947.50 : x
  2. Step 2: Convert to fraction form
    80,112.50/170,947.50 = 170,947.50/x
  3. Step 3: Cross multiply
    80,112.50x = 170,947.50 × 170,947.50
  4. Step 4: Simplify right side
    80,112.50x = 29,223,047,756.25
  5. Step 5: Solve for x
    x = 29,223,047,756.25/80,112.50
  6. Step 6: Final answer
    x = 364,775.13

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.