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

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Solution

The third proportional to 41,122 and 88,646 is: 191,092.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,122 : 88,646 = 88,646 : x
  2. Step 2: Convert to fraction form
    41,122/88,646 = 88,646/x
  3. Step 3: Cross multiply
    41,122x = 88,646 × 88,646
  4. Step 4: Simplify right side
    41,122x = 7,858,113,316
  5. Step 5: Solve for x
    x = 7,858,113,316/41,122
  6. Step 6: Final answer
    x = 191,092.68

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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.