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Finding the Third Proportional to 54,936 and 105,496

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Solution

The third proportional to 54,936 and 105,496 is: 202,588.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,936 : 105,496 = 105,496 : x
  2. Step 2: Convert to fraction form
    54,936/105,496 = 105,496/x
  3. Step 3: Cross multiply
    54,936x = 105,496 × 105,496
  4. Step 4: Simplify right side
    54,936x = 11,129,406,016
  5. Step 5: Solve for x
    x = 11,129,406,016/54,936
  6. Step 6: Final answer
    x = 202,588.58

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.