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Finding the Third Proportional to 69,675 and 150,527

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Solution

The third proportional to 69,675 and 150,527 is: 325,200.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,675 : 150,527 = 150,527 : x
  2. Step 2: Convert to fraction form
    69,675/150,527 = 150,527/x
  3. Step 3: Cross multiply
    69,675x = 150,527 × 150,527
  4. Step 4: Simplify right side
    69,675x = 22,658,377,729
  5. Step 5: Solve for x
    x = 22,658,377,729/69,675
  6. Step 6: Final answer
    x = 325,200.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.