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Finding the Third Proportional to 102,074 and 150,087

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Solution

The third proportional to 102,074 and 150,087 is: 220,684.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,074 : 150,087 = 150,087 : x
  2. Step 2: Convert to fraction form
    102,074/150,087 = 150,087/x
  3. Step 3: Cross multiply
    102,074x = 150,087 × 150,087
  4. Step 4: Simplify right side
    102,074x = 22,526,107,569
  5. Step 5: Solve for x
    x = 22,526,107,569/102,074
  6. Step 6: Final answer
    x = 220,684.09

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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.