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Finding the Third Proportional to 84,982 and 175,422

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Solution

The third proportional to 84,982 and 175,422 is: 362,110.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,982 : 175,422 = 175,422 : x
  2. Step 2: Convert to fraction form
    84,982/175,422 = 175,422/x
  3. Step 3: Cross multiply
    84,982x = 175,422 × 175,422
  4. Step 4: Simplify right side
    84,982x = 30,772,878,084
  5. Step 5: Solve for x
    x = 30,772,878,084/84,982
  6. Step 6: Final answer
    x = 362,110.54

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.