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Finding the Third Proportional to 67,642.50 and 91,257

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Solution

The third proportional to 67,642.50 and 91,257 is: 123,115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,642.50 : 91,257 = 91,257 : x
  2. Step 2: Convert to fraction form
    67,642.50/91,257 = 91,257/x
  3. Step 3: Cross multiply
    67,642.50x = 91,257 × 91,257
  4. Step 4: Simplify right side
    67,642.50x = 8,327,840,049
  5. Step 5: Solve for x
    x = 8,327,840,049/67,642.50
  6. Step 6: Final answer
    x = 123,115.50

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.