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Finding the Third Proportional to 56,180.78 and 120,699.49

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Solution

The third proportional to 56,180.78 and 120,699.49 is: 259,312.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,180.78 : 120,699.49 = 120,699.49 : x
  2. Step 2: Convert to fraction form
    56,180.78/120,699.49 = 120,699.49/x
  3. Step 3: Cross multiply
    56,180.78x = 120,699.49 × 120,699.49
  4. Step 4: Simplify right side
    56,180.78x = 14,568,367,414.32
  5. Step 5: Solve for x
    x = 14,568,367,414.32/56,180.78
  6. Step 6: Final answer
    x = 259,312.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.