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Finding the Third Proportional to 39,442 and 86,012

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Solution

The third proportional to 39,442 and 86,012 is: 187,568.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,442 : 86,012 = 86,012 : x
  2. Step 2: Convert to fraction form
    39,442/86,012 = 86,012/x
  3. Step 3: Cross multiply
    39,442x = 86,012 × 86,012
  4. Step 4: Simplify right side
    39,442x = 7,398,064,144
  5. Step 5: Solve for x
    x = 7,398,064,144/39,442
  6. Step 6: Final answer
    x = 187,568.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.