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Finding the Third Proportional to 41,646 and 88,122

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Solution

The third proportional to 41,646 and 88,122 is: 186,464.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,646 : 88,122 = 88,122 : x
  2. Step 2: Convert to fraction form
    41,646/88,122 = 88,122/x
  3. Step 3: Cross multiply
    41,646x = 88,122 × 88,122
  4. Step 4: Simplify right side
    41,646x = 7,765,486,884
  5. Step 5: Solve for x
    x = 7,765,486,884/41,646
  6. Step 6: Final answer
    x = 186,464.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.