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Finding the Third Proportional to 81,877 and 177,578

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Solution

The third proportional to 81,877 and 177,578 is: 385,138.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,877 : 177,578 = 177,578 : x
  2. Step 2: Convert to fraction form
    81,877/177,578 = 177,578/x
  3. Step 3: Cross multiply
    81,877x = 177,578 × 177,578
  4. Step 4: Simplify right side
    81,877x = 31,533,946,084
  5. Step 5: Solve for x
    x = 31,533,946,084/81,877
  6. Step 6: Final answer
    x = 385,138.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.