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Finding the Third Proportional to 80,757 and 123,961.50

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Solution

The third proportional to 80,757 and 123,961.50 is: 190,280.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,757 : 123,961.50 = 123,961.50 : x
  2. Step 2: Convert to fraction form
    80,757/123,961.50 = 123,961.50/x
  3. Step 3: Cross multiply
    80,757x = 123,961.50 × 123,961.50
  4. Step 4: Simplify right side
    80,757x = 15,366,453,482.25
  5. Step 5: Solve for x
    x = 15,366,453,482.25/80,757
  6. Step 6: Final answer
    x = 190,280.14

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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.