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Finding the Third Proportional to 57,890.74 and 126,716.48

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Solution

The third proportional to 57,890.74 and 126,716.48 is: 277,368.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,890.74 : 126,716.48 = 126,716.48 : x
  2. Step 2: Convert to fraction form
    57,890.74/126,716.48 = 126,716.48/x
  3. Step 3: Cross multiply
    57,890.74x = 126,716.48 × 126,716.48
  4. Step 4: Simplify right side
    57,890.74x = 16,057,067,412.36
  5. Step 5: Solve for x
    x = 16,057,067,412.36/57,890.74
  6. Step 6: Final answer
    x = 277,368.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.