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Finding the Third Proportional to 86,217.75 and 119,062.13

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Solution

The third proportional to 86,217.75 and 119,062.13 is: 164,418.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,217.75 : 119,062.13 = 119,062.13 : x
  2. Step 2: Convert to fraction form
    86,217.75/119,062.13 = 119,062.13/x
  3. Step 3: Cross multiply
    86,217.75x = 119,062.13 × 119,062.13
  4. Step 4: Simplify right side
    86,217.75x = 14,175,789,609.52
  5. Step 5: Solve for x
    x = 14,175,789,609.52/86,217.75
  6. Step 6: Final answer
    x = 164,418.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.