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Finding the Third Proportional to 81,860 and 175,679

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Solution

The third proportional to 81,860 and 175,679 is: 377,023.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,860 : 175,679 = 175,679 : x
  2. Step 2: Convert to fraction form
    81,860/175,679 = 175,679/x
  3. Step 3: Cross multiply
    81,860x = 175,679 × 175,679
  4. Step 4: Simplify right side
    81,860x = 30,863,111,041
  5. Step 5: Solve for x
    x = 30,863,111,041/81,860
  6. Step 6: Final answer
    x = 377,023.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.