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Finding the Third Proportional to 110,724 and 176,268

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Solution

The third proportional to 110,724 and 176,268 is: 280,611.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,724 : 176,268 = 176,268 : x
  2. Step 2: Convert to fraction form
    110,724/176,268 = 176,268/x
  3. Step 3: Cross multiply
    110,724x = 176,268 × 176,268
  4. Step 4: Simplify right side
    110,724x = 31,070,407,824
  5. Step 5: Solve for x
    x = 31,070,407,824/110,724
  6. Step 6: Final answer
    x = 280,611.32

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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.