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Finding the Third Proportional to 60,302 and 131,330

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Solution

The third proportional to 60,302 and 131,330 is: 286,019.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,302 : 131,330 = 131,330 : x
  2. Step 2: Convert to fraction form
    60,302/131,330 = 131,330/x
  3. Step 3: Cross multiply
    60,302x = 131,330 × 131,330
  4. Step 4: Simplify right side
    60,302x = 17,247,568,900
  5. Step 5: Solve for x
    x = 17,247,568,900/60,302
  6. Step 6: Final answer
    x = 286,019.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.