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Finding the Third Proportional to 101,081 and 154,713

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Solution

The third proportional to 101,081 and 154,713 is: 236,801.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,081 : 154,713 = 154,713 : x
  2. Step 2: Convert to fraction form
    101,081/154,713 = 154,713/x
  3. Step 3: Cross multiply
    101,081x = 154,713 × 154,713
  4. Step 4: Simplify right side
    101,081x = 23,936,112,369
  5. Step 5: Solve for x
    x = 23,936,112,369/101,081
  6. Step 6: Final answer
    x = 236,801.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.