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Finding the Third Proportional to 69,717 and 100,525

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Solution

The third proportional to 69,717 and 100,525 is: 144,947.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,717 : 100,525 = 100,525 : x
  2. Step 2: Convert to fraction form
    69,717/100,525 = 100,525/x
  3. Step 3: Cross multiply
    69,717x = 100,525 × 100,525
  4. Step 4: Simplify right side
    69,717x = 10,105,275,625
  5. Step 5: Solve for x
    x = 10,105,275,625/69,717
  6. Step 6: Final answer
    x = 144,947.08

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.