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Finding the Third Proportional to 82,037.25 and 175,449

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Solution

The third proportional to 82,037.25 and 175,449 is: 375,224.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,037.25 : 175,449 = 175,449 : x
  2. Step 2: Convert to fraction form
    82,037.25/175,449 = 175,449/x
  3. Step 3: Cross multiply
    82,037.25x = 175,449 × 175,449
  4. Step 4: Simplify right side
    82,037.25x = 30,782,351,601
  5. Step 5: Solve for x
    x = 30,782,351,601/82,037.25
  6. Step 6: Final answer
    x = 375,224.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.