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Finding the Third Proportional to 102,204 and 155,034

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Solution

The third proportional to 102,204 and 155,034 is: 235,172.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,204 : 155,034 = 155,034 : x
  2. Step 2: Convert to fraction form
    102,204/155,034 = 155,034/x
  3. Step 3: Cross multiply
    102,204x = 155,034 × 155,034
  4. Step 4: Simplify right side
    102,204x = 24,035,541,156
  5. Step 5: Solve for x
    x = 24,035,541,156/102,204
  6. Step 6: Final answer
    x = 235,172.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.