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Finding the Third Proportional to 40,334 and 86,838

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Solution

The third proportional to 40,334 and 86,838 is: 186,959.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,334 : 86,838 = 86,838 : x
  2. Step 2: Convert to fraction form
    40,334/86,838 = 86,838/x
  3. Step 3: Cross multiply
    40,334x = 86,838 × 86,838
  4. Step 4: Simplify right side
    40,334x = 7,540,838,244
  5. Step 5: Solve for x
    x = 7,540,838,244/40,334
  6. Step 6: Final answer
    x = 186,959.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.