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Finding the Third Proportional to 84,084 and 130,198

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Solution

The third proportional to 84,084 and 130,198 is: 201,602.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,084 : 130,198 = 130,198 : x
  2. Step 2: Convert to fraction form
    84,084/130,198 = 130,198/x
  3. Step 3: Cross multiply
    84,084x = 130,198 × 130,198
  4. Step 4: Simplify right side
    84,084x = 16,951,519,204
  5. Step 5: Solve for x
    x = 16,951,519,204/84,084
  6. Step 6: Final answer
    x = 201,602.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.