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Finding the Third Proportional to 41,845 and 88,001

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Solution

The third proportional to 41,845 and 88,001 is: 185,068.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,845 : 88,001 = 88,001 : x
  2. Step 2: Convert to fraction form
    41,845/88,001 = 88,001/x
  3. Step 3: Cross multiply
    41,845x = 88,001 × 88,001
  4. Step 4: Simplify right side
    41,845x = 7,744,176,001
  5. Step 5: Solve for x
    x = 7,744,176,001/41,845
  6. Step 6: Final answer
    x = 185,068.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.