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Finding the Third Proportional to 131,631 and 188,226

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Solution

The third proportional to 131,631 and 188,226 is: 269,154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,631 : 188,226 = 188,226 : x
  2. Step 2: Convert to fraction form
    131,631/188,226 = 188,226/x
  3. Step 3: Cross multiply
    131,631x = 188,226 × 188,226
  4. Step 4: Simplify right side
    131,631x = 35,429,027,076
  5. Step 5: Solve for x
    x = 35,429,027,076/131,631
  6. Step 6: Final answer
    x = 269,154.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.