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Finding the Third Proportional to 60,376 and 131,131

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Solution

The third proportional to 60,376 and 131,131 is: 284,804.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,376 : 131,131 = 131,131 : x
  2. Step 2: Convert to fraction form
    60,376/131,131 = 131,131/x
  3. Step 3: Cross multiply
    60,376x = 131,131 × 131,131
  4. Step 4: Simplify right side
    60,376x = 17,195,339,161
  5. Step 5: Solve for x
    x = 17,195,339,161/60,376
  6. Step 6: Final answer
    x = 284,804.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.