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Finding the Third Proportional to 70,108.50 and 151,449

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Solution

The third proportional to 70,108.50 and 151,449 is: 327,161.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,108.50 : 151,449 = 151,449 : x
  2. Step 2: Convert to fraction form
    70,108.50/151,449 = 151,449/x
  3. Step 3: Cross multiply
    70,108.50x = 151,449 × 151,449
  4. Step 4: Simplify right side
    70,108.50x = 22,936,799,601
  5. Step 5: Solve for x
    x = 22,936,799,601/70,108.50
  6. Step 6: Final answer
    x = 327,161.47

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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.