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Finding the Third Proportional to 101,738 and 154,974

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Solution

The third proportional to 101,738 and 154,974 is: 236,066.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,738 : 154,974 = 154,974 : x
  2. Step 2: Convert to fraction form
    101,738/154,974 = 154,974/x
  3. Step 3: Cross multiply
    101,738x = 154,974 × 154,974
  4. Step 4: Simplify right side
    101,738x = 24,016,940,676
  5. Step 5: Solve for x
    x = 24,016,940,676/101,738
  6. Step 6: Final answer
    x = 236,066.57

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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.