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Finding the Third Proportional to 56,860 and 122,767

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Solution

The third proportional to 56,860 and 122,767 is: 265,067.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,860 : 122,767 = 122,767 : x
  2. Step 2: Convert to fraction form
    56,860/122,767 = 122,767/x
  3. Step 3: Cross multiply
    56,860x = 122,767 × 122,767
  4. Step 4: Simplify right side
    56,860x = 15,071,736,289
  5. Step 5: Solve for x
    x = 15,071,736,289/56,860
  6. Step 6: Final answer
    x = 265,067.47

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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.