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Finding the Third Proportional to 60,896.50 and 95,662

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Solution

The third proportional to 60,896.50 and 95,662 is: 150,274.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,896.50 : 95,662 = 95,662 : x
  2. Step 2: Convert to fraction form
    60,896.50/95,662 = 95,662/x
  3. Step 3: Cross multiply
    60,896.50x = 95,662 × 95,662
  4. Step 4: Simplify right side
    60,896.50x = 9,151,218,244
  5. Step 5: Solve for x
    x = 9,151,218,244/60,896.50
  6. Step 6: Final answer
    x = 150,274.95

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.