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Finding the Third Proportional to 41,128 and 88,796

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Solution

The third proportional to 41,128 and 88,796 is: 191,711.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,128 : 88,796 = 88,796 : x
  2. Step 2: Convert to fraction form
    41,128/88,796 = 88,796/x
  3. Step 3: Cross multiply
    41,128x = 88,796 × 88,796
  4. Step 4: Simplify right side
    41,128x = 7,884,729,616
  5. Step 5: Solve for x
    x = 7,884,729,616/41,128
  6. Step 6: Final answer
    x = 191,711.96

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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.