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Finding the Third Proportional to 67,047.75 and 91,165.50

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Solution

The third proportional to 67,047.75 and 91,165.50 is: 123,958.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,047.75 : 91,165.50 = 91,165.50 : x
  2. Step 2: Convert to fraction form
    67,047.75/91,165.50 = 91,165.50/x
  3. Step 3: Cross multiply
    67,047.75x = 91,165.50 × 91,165.50
  4. Step 4: Simplify right side
    67,047.75x = 8,311,148,390.25
  5. Step 5: Solve for x
    x = 8,311,148,390.25/67,047.75
  6. Step 6: Final answer
    x = 123,958.65

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.