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Finding the Third Proportional to 102,204 and 156,974

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Solution

The third proportional to 102,204 and 156,974 is: 241,094.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,204 : 156,974 = 156,974 : x
  2. Step 2: Convert to fraction form
    102,204/156,974 = 156,974/x
  3. Step 3: Cross multiply
    102,204x = 156,974 × 156,974
  4. Step 4: Simplify right side
    102,204x = 24,640,836,676
  5. Step 5: Solve for x
    x = 24,640,836,676/102,204
  6. Step 6: Final answer
    x = 241,094.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.