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Finding the Third Proportional to 95,357 and 133,378

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Solution

The third proportional to 95,357 and 133,378 is: 186,558.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,357 : 133,378 = 133,378 : x
  2. Step 2: Convert to fraction form
    95,357/133,378 = 133,378/x
  3. Step 3: Cross multiply
    95,357x = 133,378 × 133,378
  4. Step 4: Simplify right side
    95,357x = 17,789,690,884
  5. Step 5: Solve for x
    x = 17,789,690,884/95,357
  6. Step 6: Final answer
    x = 186,558.84

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.