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Finding the Third Proportional to 54,682 and 119,832

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Solution

The third proportional to 54,682 and 119,832 is: 262,603.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,682 : 119,832 = 119,832 : x
  2. Step 2: Convert to fraction form
    54,682/119,832 = 119,832/x
  3. Step 3: Cross multiply
    54,682x = 119,832 × 119,832
  4. Step 4: Simplify right side
    54,682x = 14,359,708,224
  5. Step 5: Solve for x
    x = 14,359,708,224/54,682
  6. Step 6: Final answer
    x = 262,603.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.