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Finding the Third Proportional to 41,466 and 88,842

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Solution

The third proportional to 41,466 and 88,842 is: 190,346.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,466 : 88,842 = 88,842 : x
  2. Step 2: Convert to fraction form
    41,466/88,842 = 88,842/x
  3. Step 3: Cross multiply
    41,466x = 88,842 × 88,842
  4. Step 4: Simplify right side
    41,466x = 7,892,900,964
  5. Step 5: Solve for x
    x = 7,892,900,964/41,466
  6. Step 6: Final answer
    x = 190,346.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.