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Finding the Third Proportional to 105,721 and 154,612

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Solution

The third proportional to 105,721 and 154,612 is: 226,112.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,721 : 154,612 = 154,612 : x
  2. Step 2: Convert to fraction form
    105,721/154,612 = 154,612/x
  3. Step 3: Cross multiply
    105,721x = 154,612 × 154,612
  4. Step 4: Simplify right side
    105,721x = 23,904,870,544
  5. Step 5: Solve for x
    x = 23,904,870,544/105,721
  6. Step 6: Final answer
    x = 226,112.79

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.