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Finding the Third Proportional to 36,110 and 86,986

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Solution

The third proportional to 36,110 and 86,986 is: 209,542.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,110 : 86,986 = 86,986 : x
  2. Step 2: Convert to fraction form
    36,110/86,986 = 86,986/x
  3. Step 3: Cross multiply
    36,110x = 86,986 × 86,986
  4. Step 4: Simplify right side
    36,110x = 7,566,564,196
  5. Step 5: Solve for x
    x = 7,566,564,196/36,110
  6. Step 6: Final answer
    x = 209,542.07

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.