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Finding the Third Proportional to 69,450 and 147,624

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Solution

The third proportional to 69,450 and 147,624 is: 313,791.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,450 : 147,624 = 147,624 : x
  2. Step 2: Convert to fraction form
    69,450/147,624 = 147,624/x
  3. Step 3: Cross multiply
    69,450x = 147,624 × 147,624
  4. Step 4: Simplify right side
    69,450x = 21,792,845,376
  5. Step 5: Solve for x
    x = 21,792,845,376/69,450
  6. Step 6: Final answer
    x = 313,791.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.