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Finding the Third Proportional to 34,252 and 73,624

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Solution

The third proportional to 34,252 and 73,624 is: 158,253.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,252 : 73,624 = 73,624 : x
  2. Step 2: Convert to fraction form
    34,252/73,624 = 73,624/x
  3. Step 3: Cross multiply
    34,252x = 73,624 × 73,624
  4. Step 4: Simplify right side
    34,252x = 5,420,493,376
  5. Step 5: Solve for x
    x = 5,420,493,376/34,252
  6. Step 6: Final answer
    x = 158,253.34

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Why These Related Problems?

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