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Finding the Third Proportional to 56,843 and 119,578

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Solution

The third proportional to 56,843 and 119,578 is: 251,550.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,843 : 119,578 = 119,578 : x
  2. Step 2: Convert to fraction form
    56,843/119,578 = 119,578/x
  3. Step 3: Cross multiply
    56,843x = 119,578 × 119,578
  4. Step 4: Simplify right side
    56,843x = 14,298,898,084
  5. Step 5: Solve for x
    x = 14,298,898,084/56,843
  6. Step 6: Final answer
    x = 251,550.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.