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Finding the Third Proportional to 102,076 and 150,198

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Solution

The third proportional to 102,076 and 150,198 is: 221,006.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,076 : 150,198 = 150,198 : x
  2. Step 2: Convert to fraction form
    102,076/150,198 = 150,198/x
  3. Step 3: Cross multiply
    102,076x = 150,198 × 150,198
  4. Step 4: Simplify right side
    102,076x = 22,559,439,204
  5. Step 5: Solve for x
    x = 22,559,439,204/102,076
  6. Step 6: Final answer
    x = 221,006.30

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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.