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Finding the Third Proportional to 80,280 and 123,438.75

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Solution

The third proportional to 80,280 and 123,438.75 is: 189,799.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,280 : 123,438.75 = 123,438.75 : x
  2. Step 2: Convert to fraction form
    80,280/123,438.75 = 123,438.75/x
  3. Step 3: Cross multiply
    80,280x = 123,438.75 × 123,438.75
  4. Step 4: Simplify right side
    80,280x = 15,237,125,001.56
  5. Step 5: Solve for x
    x = 15,237,125,001.56/80,280
  6. Step 6: Final answer
    x = 189,799.76

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.