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Finding the Third Proportional to 69,100 and 110,170

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Solution

The third proportional to 69,100 and 110,170 is: 175,650.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,100 : 110,170 = 110,170 : x
  2. Step 2: Convert to fraction form
    69,100/110,170 = 110,170/x
  3. Step 3: Cross multiply
    69,100x = 110,170 × 110,170
  4. Step 4: Simplify right side
    69,100x = 12,137,428,900
  5. Step 5: Solve for x
    x = 12,137,428,900/69,100
  6. Step 6: Final answer
    x = 175,650.20

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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.