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Finding the Third Proportional to 60,980 and 131,680

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Solution

The third proportional to 60,980 and 131,680 is: 284,349.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,980 : 131,680 = 131,680 : x
  2. Step 2: Convert to fraction form
    60,980/131,680 = 131,680/x
  3. Step 3: Cross multiply
    60,980x = 131,680 × 131,680
  4. Step 4: Simplify right side
    60,980x = 17,339,622,400
  5. Step 5: Solve for x
    x = 17,339,622,400/60,980
  6. Step 6: Final answer
    x = 284,349.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.