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Finding the Third Proportional to 110,992 and 176,536

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Solution

The third proportional to 110,992 and 176,536 is: 280,785.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,992 : 176,536 = 176,536 : x
  2. Step 2: Convert to fraction form
    110,992/176,536 = 176,536/x
  3. Step 3: Cross multiply
    110,992x = 176,536 × 176,536
  4. Step 4: Simplify right side
    110,992x = 31,164,959,296
  5. Step 5: Solve for x
    x = 31,164,959,296/110,992
  6. Step 6: Final answer
    x = 280,785.64

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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.