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Finding the Third Proportional to 56,998.69 and 127,104.19

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Solution

The third proportional to 56,998.69 and 127,104.19 is: 283,435.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,998.69 : 127,104.19 = 127,104.19 : x
  2. Step 2: Convert to fraction form
    56,998.69/127,104.19 = 127,104.19/x
  3. Step 3: Cross multiply
    56,998.69x = 127,104.19 × 127,104.19
  4. Step 4: Simplify right side
    56,998.69x = 16,155,474,480.04
  5. Step 5: Solve for x
    x = 16,155,474,480.04/56,998.69
  6. Step 6: Final answer
    x = 283,435.90

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.