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Finding the Third Proportional to 102,414 and 158,949

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Solution

The third proportional to 102,414 and 158,949 is: 246,692.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,414 : 158,949 = 158,949 : x
  2. Step 2: Convert to fraction form
    102,414/158,949 = 158,949/x
  3. Step 3: Cross multiply
    102,414x = 158,949 × 158,949
  4. Step 4: Simplify right side
    102,414x = 25,264,784,601
  5. Step 5: Solve for x
    x = 25,264,784,601/102,414
  6. Step 6: Final answer
    x = 246,692.68

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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.