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Finding the Third Proportional to 114,736 and 161,288

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Solution

The third proportional to 114,736 and 161,288 is: 226,727.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,736 : 161,288 = 161,288 : x
  2. Step 2: Convert to fraction form
    114,736/161,288 = 161,288/x
  3. Step 3: Cross multiply
    114,736x = 161,288 × 161,288
  4. Step 4: Simplify right side
    114,736x = 26,013,818,944
  5. Step 5: Solve for x
    x = 26,013,818,944/114,736
  6. Step 6: Final answer
    x = 226,727.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.