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Finding the Third Proportional to 100,137 and 155,949

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Solution

The third proportional to 100,137 and 155,949 is: 242,868.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,137 : 155,949 = 155,949 : x
  2. Step 2: Convert to fraction form
    100,137/155,949 = 155,949/x
  3. Step 3: Cross multiply
    100,137x = 155,949 × 155,949
  4. Step 4: Simplify right side
    100,137x = 24,320,090,601
  5. Step 5: Solve for x
    x = 24,320,090,601/100,137
  6. Step 6: Final answer
    x = 242,868.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.