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Finding the Third Proportional to 54,849 and 81,914

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Solution

The third proportional to 54,849 and 81,914 is: 122,334.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,849 : 81,914 = 81,914 : x
  2. Step 2: Convert to fraction form
    54,849/81,914 = 81,914/x
  3. Step 3: Cross multiply
    54,849x = 81,914 × 81,914
  4. Step 4: Simplify right side
    54,849x = 6,709,903,396
  5. Step 5: Solve for x
    x = 6,709,903,396/54,849
  6. Step 6: Final answer
    x = 122,334.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.