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Finding the Third Proportional to 86,744.25 and 134,055

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Solution

The third proportional to 86,744.25 and 134,055 is: 207,169.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,744.25 : 134,055 = 134,055 : x
  2. Step 2: Convert to fraction form
    86,744.25/134,055 = 134,055/x
  3. Step 3: Cross multiply
    86,744.25x = 134,055 × 134,055
  4. Step 4: Simplify right side
    86,744.25x = 17,970,743,025
  5. Step 5: Solve for x
    x = 17,970,743,025/86,744.25
  6. Step 6: Final answer
    x = 207,169.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.