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Finding the Third Proportional to 69,076.13 and 103,188.38

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Solution

The third proportional to 69,076.13 and 103,188.38 is: 154,146.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,076.13 : 103,188.38 = 103,188.38 : x
  2. Step 2: Convert to fraction form
    69,076.13/103,188.38 = 103,188.38/x
  3. Step 3: Cross multiply
    69,076.13x = 103,188.38 × 103,188.38
  4. Step 4: Simplify right side
    69,076.13x = 10,647,840,735.14
  5. Step 5: Solve for x
    x = 10,647,840,735.14/69,076.13
  6. Step 6: Final answer
    x = 154,146.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.