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Finding the Third Proportional to 37,199 and 81,769

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Solution

The third proportional to 37,199 and 81,769 is: 179,740.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,199 : 81,769 = 81,769 : x
  2. Step 2: Convert to fraction form
    37,199/81,769 = 81,769/x
  3. Step 3: Cross multiply
    37,199x = 81,769 × 81,769
  4. Step 4: Simplify right side
    37,199x = 6,686,169,361
  5. Step 5: Solve for x
    x = 6,686,169,361/37,199
  6. Step 6: Final answer
    x = 179,740.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.