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Finding the Third Proportional to 41,051 and 88,651

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Solution

The third proportional to 41,051 and 88,651 is: 191,444.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,051 : 88,651 = 88,651 : x
  2. Step 2: Convert to fraction form
    41,051/88,651 = 88,651/x
  3. Step 3: Cross multiply
    41,051x = 88,651 × 88,651
  4. Step 4: Simplify right side
    41,051x = 7,858,999,801
  5. Step 5: Solve for x
    x = 7,858,999,801/41,051
  6. Step 6: Final answer
    x = 191,444.78

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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.