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Finding the Third Proportional to 111,048 and 176,616

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Solution

The third proportional to 111,048 and 176,616 is: 280,898.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,048 : 176,616 = 176,616 : x
  2. Step 2: Convert to fraction form
    111,048/176,616 = 176,616/x
  3. Step 3: Cross multiply
    111,048x = 176,616 × 176,616
  4. Step 4: Simplify right side
    111,048x = 31,193,211,456
  5. Step 5: Solve for x
    x = 31,193,211,456/111,048
  6. Step 6: Final answer
    x = 280,898.45

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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.