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Finding the Third Proportional to 41,464 and 88,838

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Solution

The third proportional to 41,464 and 88,838 is: 190,338.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,464 : 88,838 = 88,838 : x
  2. Step 2: Convert to fraction form
    41,464/88,838 = 88,838/x
  3. Step 3: Cross multiply
    41,464x = 88,838 × 88,838
  4. Step 4: Simplify right side
    41,464x = 7,892,190,244
  5. Step 5: Solve for x
    x = 7,892,190,244/41,464
  6. Step 6: Final answer
    x = 190,338.37

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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.