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Finding the Third Proportional to 41,929 and 88,699

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Solution

The third proportional to 41,929 and 88,699 is: 187,638.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,929 : 88,699 = 88,699 : x
  2. Step 2: Convert to fraction form
    41,929/88,699 = 88,699/x
  3. Step 3: Cross multiply
    41,929x = 88,699 × 88,699
  4. Step 4: Simplify right side
    41,929x = 7,867,512,601
  5. Step 5: Solve for x
    x = 7,867,512,601/41,929
  6. Step 6: Final answer
    x = 187,638.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.