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Finding the Third Proportional to 102,192 and 158,601

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Solution

The third proportional to 102,192 and 158,601 is: 246,147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,192 : 158,601 = 158,601 : x
  2. Step 2: Convert to fraction form
    102,192/158,601 = 158,601/x
  3. Step 3: Cross multiply
    102,192x = 158,601 × 158,601
  4. Step 4: Simplify right side
    102,192x = 25,154,277,201
  5. Step 5: Solve for x
    x = 25,154,277,201/102,192
  6. Step 6: Final answer
    x = 246,147.22

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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.