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Finding the Third Proportional to 73,503 and 159,452

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Solution

The third proportional to 73,503 and 159,452 is: 345,903.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,503 : 159,452 = 159,452 : x
  2. Step 2: Convert to fraction form
    73,503/159,452 = 159,452/x
  3. Step 3: Cross multiply
    73,503x = 159,452 × 159,452
  4. Step 4: Simplify right side
    73,503x = 25,424,940,304
  5. Step 5: Solve for x
    x = 25,424,940,304/73,503
  6. Step 6: Final answer
    x = 345,903.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.