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Finding the Third Proportional to 73,844 and 114,555

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Solution

The third proportional to 73,844 and 114,555 is: 177,710.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,844 : 114,555 = 114,555 : x
  2. Step 2: Convert to fraction form
    73,844/114,555 = 114,555/x
  3. Step 3: Cross multiply
    73,844x = 114,555 × 114,555
  4. Step 4: Simplify right side
    73,844x = 13,122,848,025
  5. Step 5: Solve for x
    x = 13,122,848,025/73,844
  6. Step 6: Final answer
    x = 177,710.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.