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Finding the Third Proportional to 103,552 and 150,304

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Solution

The third proportional to 103,552 and 150,304 is: 218,163.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,552 : 150,304 = 150,304 : x
  2. Step 2: Convert to fraction form
    103,552/150,304 = 150,304/x
  3. Step 3: Cross multiply
    103,552x = 150,304 × 150,304
  4. Step 4: Simplify right side
    103,552x = 22,591,292,416
  5. Step 5: Solve for x
    x = 22,591,292,416/103,552
  6. Step 6: Final answer
    x = 218,163.75

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.