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Finding the Third Proportional to 104,068 and 154,949

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Solution

The third proportional to 104,068 and 154,949 is: 230,706.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,068 : 154,949 = 154,949 : x
  2. Step 2: Convert to fraction form
    104,068/154,949 = 154,949/x
  3. Step 3: Cross multiply
    104,068x = 154,949 × 154,949
  4. Step 4: Simplify right side
    104,068x = 24,009,192,601
  5. Step 5: Solve for x
    x = 24,009,192,601/104,068
  6. Step 6: Final answer
    x = 230,706.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.