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Finding the Third Proportional to 39,499 and 86,651

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Solution

The third proportional to 39,499 and 86,651 is: 190,090.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,499 : 86,651 = 86,651 : x
  2. Step 2: Convert to fraction form
    39,499/86,651 = 86,651/x
  3. Step 3: Cross multiply
    39,499x = 86,651 × 86,651
  4. Step 4: Simplify right side
    39,499x = 7,508,395,801
  5. Step 5: Solve for x
    x = 7,508,395,801/39,499
  6. Step 6: Final answer
    x = 190,090.78

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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.