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Finding the Third Proportional to 70,206 and 111,600

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Solution

The third proportional to 70,206 and 111,600 is: 177,400.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,206 : 111,600 = 111,600 : x
  2. Step 2: Convert to fraction form
    70,206/111,600 = 111,600/x
  3. Step 3: Cross multiply
    70,206x = 111,600 × 111,600
  4. Step 4: Simplify right side
    70,206x = 12,454,560,000
  5. Step 5: Solve for x
    x = 12,454,560,000/70,206
  6. Step 6: Final answer
    x = 177,400.22

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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.