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Finding the Third Proportional to 69,086 and 103,683

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Solution

The third proportional to 69,086 and 103,683 is: 155,605.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,086 : 103,683 = 103,683 : x
  2. Step 2: Convert to fraction form
    69,086/103,683 = 103,683/x
  3. Step 3: Cross multiply
    69,086x = 103,683 × 103,683
  4. Step 4: Simplify right side
    69,086x = 10,750,164,489
  5. Step 5: Solve for x
    x = 10,750,164,489/69,086
  6. Step 6: Final answer
    x = 155,605.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.