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Finding the Third Proportional to 81,724 and 175,958

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Solution

The third proportional to 81,724 and 175,958 is: 378,850.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,724 : 175,958 = 175,958 : x
  2. Step 2: Convert to fraction form
    81,724/175,958 = 175,958/x
  3. Step 3: Cross multiply
    81,724x = 175,958 × 175,958
  4. Step 4: Simplify right side
    81,724x = 30,961,217,764
  5. Step 5: Solve for x
    x = 30,961,217,764/81,724
  6. Step 6: Final answer
    x = 378,850.98

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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.