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Finding the Third Proportional to 69,170 and 100,083

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Solution

The third proportional to 69,170 and 100,083 is: 144,811.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,170 : 100,083 = 100,083 : x
  2. Step 2: Convert to fraction form
    69,170/100,083 = 100,083/x
  3. Step 3: Cross multiply
    69,170x = 100,083 × 100,083
  4. Step 4: Simplify right side
    69,170x = 10,016,606,889
  5. Step 5: Solve for x
    x = 10,016,606,889/69,170
  6. Step 6: Final answer
    x = 144,811.43

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.