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Finding the Third Proportional to 117,587 and 177,474

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Solution

The third proportional to 117,587 and 177,474 is: 267,861.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,587 : 177,474 = 177,474 : x
  2. Step 2: Convert to fraction form
    117,587/177,474 = 177,474/x
  3. Step 3: Cross multiply
    117,587x = 177,474 × 177,474
  4. Step 4: Simplify right side
    117,587x = 31,497,020,676
  5. Step 5: Solve for x
    x = 31,497,020,676/117,587
  6. Step 6: Final answer
    x = 267,861.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.