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Finding the Third Proportional to 31,744.50 and 68,266.50

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Solution

The third proportional to 31,744.50 and 68,266.50 is: 146,807.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,744.50 : 68,266.50 = 68,266.50 : x
  2. Step 2: Convert to fraction form
    31,744.50/68,266.50 = 68,266.50/x
  3. Step 3: Cross multiply
    31,744.50x = 68,266.50 × 68,266.50
  4. Step 4: Simplify right side
    31,744.50x = 4,660,315,022.25
  5. Step 5: Solve for x
    x = 4,660,315,022.25/31,744.50
  6. Step 6: Final answer
    x = 146,807.01

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.