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Finding the Third Proportional to 102,074.25 and 150,195.38

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Solution

The third proportional to 102,074.25 and 150,195.38 is: 221,002.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,074.25 : 150,195.38 = 150,195.38 : x
  2. Step 2: Convert to fraction form
    102,074.25/150,195.38 = 150,195.38/x
  3. Step 3: Cross multiply
    102,074.25x = 150,195.38 × 150,195.38
  4. Step 4: Simplify right side
    102,074.25x = 22,558,650,671.39
  5. Step 5: Solve for x
    x = 22,558,650,671.39/102,074.25
  6. Step 6: Final answer
    x = 221,002.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.