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Finding the Third Proportional to 107,949.38 and 150,954.75

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Solution

The third proportional to 107,949.38 and 150,954.75 is: 211,092.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,949.38 : 150,954.75 = 150,954.75 : x
  2. Step 2: Convert to fraction form
    107,949.38/150,954.75 = 150,954.75/x
  3. Step 3: Cross multiply
    107,949.38x = 150,954.75 × 150,954.75
  4. Step 4: Simplify right side
    107,949.38x = 22,787,336,547.56
  5. Step 5: Solve for x
    x = 22,787,336,547.56/107,949.38
  6. Step 6: Final answer
    x = 211,092.81

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.