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Finding the Third Proportional to 39,422 and 86,498

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Solution

The third proportional to 39,422 and 86,498 is: 189,790.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,422 : 86,498 = 86,498 : x
  2. Step 2: Convert to fraction form
    39,422/86,498 = 86,498/x
  3. Step 3: Cross multiply
    39,422x = 86,498 × 86,498
  4. Step 4: Simplify right side
    39,422x = 7,481,904,004
  5. Step 5: Solve for x
    x = 7,481,904,004/39,422
  6. Step 6: Final answer
    x = 189,790.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.