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Finding the Third Proportional to 41,208 and 88,986

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Solution

The third proportional to 41,208 and 88,986 is: 192,159.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,208 : 88,986 = 88,986 : x
  2. Step 2: Convert to fraction form
    41,208/88,986 = 88,986/x
  3. Step 3: Cross multiply
    41,208x = 88,986 × 88,986
  4. Step 4: Simplify right side
    41,208x = 7,918,508,196
  5. Step 5: Solve for x
    x = 7,918,508,196/41,208
  6. Step 6: Final answer
    x = 192,159.49

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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.