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Finding the Third Proportional to 111,252 and 176,884

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Solution

The third proportional to 111,252 and 176,884 is: 281,234.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,252 : 176,884 = 176,884 : x
  2. Step 2: Convert to fraction form
    111,252/176,884 = 176,884/x
  3. Step 3: Cross multiply
    111,252x = 176,884 × 176,884
  4. Step 4: Simplify right side
    111,252x = 31,287,949,456
  5. Step 5: Solve for x
    x = 31,287,949,456/111,252
  6. Step 6: Final answer
    x = 281,234.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.