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Finding the Third Proportional to 81,880 and 177,584

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Solution

The third proportional to 81,880 and 177,584 is: 385,149.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,880 : 177,584 = 177,584 : x
  2. Step 2: Convert to fraction form
    81,880/177,584 = 177,584/x
  3. Step 3: Cross multiply
    81,880x = 177,584 × 177,584
  4. Step 4: Simplify right side
    81,880x = 31,536,077,056
  5. Step 5: Solve for x
    x = 31,536,077,056/81,880
  6. Step 6: Final answer
    x = 385,149.94

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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.