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Finding the Third Proportional to 80,748.38 and 123,947.25

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Solution

The third proportional to 80,748.38 and 123,947.25 is: 190,256.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,748.38 : 123,947.25 = 123,947.25 : x
  2. Step 2: Convert to fraction form
    80,748.38/123,947.25 = 123,947.25/x
  3. Step 3: Cross multiply
    80,748.38x = 123,947.25 × 123,947.25
  4. Step 4: Simplify right side
    80,748.38x = 15,362,920,782.56
  5. Step 5: Solve for x
    x = 15,362,920,782.56/80,748.38
  6. Step 6: Final answer
    x = 190,256.72

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.