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Finding the Third Proportional to 114,163 and 179,081

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Solution

The third proportional to 114,163 and 179,081 is: 280,914.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,163 : 179,081 = 179,081 : x
  2. Step 2: Convert to fraction form
    114,163/179,081 = 179,081/x
  3. Step 3: Cross multiply
    114,163x = 179,081 × 179,081
  4. Step 4: Simplify right side
    114,163x = 32,070,004,561
  5. Step 5: Solve for x
    x = 32,070,004,561/114,163
  6. Step 6: Final answer
    x = 280,914.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.