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Finding the Third Proportional to 56,081 and 123,060

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Solution

The third proportional to 56,081 and 123,060 is: 270,033.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,081 : 123,060 = 123,060 : x
  2. Step 2: Convert to fraction form
    56,081/123,060 = 123,060/x
  3. Step 3: Cross multiply
    56,081x = 123,060 × 123,060
  4. Step 4: Simplify right side
    56,081x = 15,143,763,600
  5. Step 5: Solve for x
    x = 15,143,763,600/56,081
  6. Step 6: Final answer
    x = 270,033.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.