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Finding the Third Proportional to 54,670 and 80,061

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Solution

The third proportional to 54,670 and 80,061 is: 117,244.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,670 : 80,061 = 80,061 : x
  2. Step 2: Convert to fraction form
    54,670/80,061 = 80,061/x
  3. Step 3: Cross multiply
    54,670x = 80,061 × 80,061
  4. Step 4: Simplify right side
    54,670x = 6,409,763,721
  5. Step 5: Solve for x
    x = 6,409,763,721/54,670
  6. Step 6: Final answer
    x = 117,244.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.