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Finding the Third Proportional to 110,695 and 175,006

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Solution

The third proportional to 110,695 and 175,006 is: 276,680.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,695 : 175,006 = 175,006 : x
  2. Step 2: Convert to fraction form
    110,695/175,006 = 175,006/x
  3. Step 3: Cross multiply
    110,695x = 175,006 × 175,006
  4. Step 4: Simplify right side
    110,695x = 30,627,100,036
  5. Step 5: Solve for x
    x = 30,627,100,036/110,695
  6. Step 6: Final answer
    x = 276,680.07

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.