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Finding the Third Proportional to 56,998.69 and 120,057.19

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Solution

The third proportional to 56,998.69 and 120,057.19 is: 252,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,998.69 : 120,057.19 = 120,057.19 : x
  2. Step 2: Convert to fraction form
    56,998.69/120,057.19 = 120,057.19/x
  3. Step 3: Cross multiply
    56,998.69x = 120,057.19 × 120,057.19
  4. Step 4: Simplify right side
    56,998.69x = 14,413,728,270.41
  5. Step 5: Solve for x
    x = 14,413,728,270.41/56,998.69
  6. Step 6: Final answer
    x = 252,878.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.