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Finding the Third Proportional to 54,473 and 113,935

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Solution

The third proportional to 54,473 and 113,935 is: 238,304.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,473 : 113,935 = 113,935 : x
  2. Step 2: Convert to fraction form
    54,473/113,935 = 113,935/x
  3. Step 3: Cross multiply
    54,473x = 113,935 × 113,935
  4. Step 4: Simplify right side
    54,473x = 12,981,184,225
  5. Step 5: Solve for x
    x = 12,981,184,225/54,473
  6. Step 6: Final answer
    x = 238,304.93

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.