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Finding the Third Proportional to 42,069 and 89,751

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Solution

The third proportional to 42,069 and 89,751 is: 191,476.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,069 : 89,751 = 89,751 : x
  2. Step 2: Convert to fraction form
    42,069/89,751 = 89,751/x
  3. Step 3: Cross multiply
    42,069x = 89,751 × 89,751
  4. Step 4: Simplify right side
    42,069x = 8,055,242,001
  5. Step 5: Solve for x
    x = 8,055,242,001/42,069
  6. Step 6: Final answer
    x = 191,476.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.