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Finding the Third Proportional to 101,910 and 154,404

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Solution

The third proportional to 101,910 and 154,404 is: 233,937.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,910 : 154,404 = 154,404 : x
  2. Step 2: Convert to fraction form
    101,910/154,404 = 154,404/x
  3. Step 3: Cross multiply
    101,910x = 154,404 × 154,404
  4. Step 4: Simplify right side
    101,910x = 23,840,595,216
  5. Step 5: Solve for x
    x = 23,840,595,216/101,910
  6. Step 6: Final answer
    x = 233,937.74

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.