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Finding the Third Proportional to 40,867 and 88,185

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Solution

The third proportional to 40,867 and 88,185 is: 190,290.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,867 : 88,185 = 88,185 : x
  2. Step 2: Convert to fraction form
    40,867/88,185 = 88,185/x
  3. Step 3: Cross multiply
    40,867x = 88,185 × 88,185
  4. Step 4: Simplify right side
    40,867x = 7,776,594,225
  5. Step 5: Solve for x
    x = 7,776,594,225/40,867
  6. Step 6: Final answer
    x = 190,290.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.