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Finding the Third Proportional to 69,324.75 and 99,065.25

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Solution

The third proportional to 69,324.75 and 99,065.25 is: 141,564.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,324.75 : 99,065.25 = 99,065.25 : x
  2. Step 2: Convert to fraction form
    69,324.75/99,065.25 = 99,065.25/x
  3. Step 3: Cross multiply
    69,324.75x = 99,065.25 × 99,065.25
  4. Step 4: Simplify right side
    69,324.75x = 9,813,923,757.56
  5. Step 5: Solve for x
    x = 9,813,923,757.56/69,324.75
  6. Step 6: Final answer
    x = 141,564.50

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.