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Finding the Third Proportional to 39,971.25 and 86,168.25

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Solution

The third proportional to 39,971.25 and 86,168.25 is: 185,757.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,971.25 : 86,168.25 = 86,168.25 : x
  2. Step 2: Convert to fraction form
    39,971.25/86,168.25 = 86,168.25/x
  3. Step 3: Cross multiply
    39,971.25x = 86,168.25 × 86,168.25
  4. Step 4: Simplify right side
    39,971.25x = 7,424,967,308.06
  5. Step 5: Solve for x
    x = 7,424,967,308.06/39,971.25
  6. Step 6: Final answer
    x = 185,757.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.