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Finding the Third Proportional to 57,919.50 and 126,910

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Solution

The third proportional to 57,919.50 and 126,910 is: 278,078.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,919.50 : 126,910 = 126,910 : x
  2. Step 2: Convert to fraction form
    57,919.50/126,910 = 126,910/x
  3. Step 3: Cross multiply
    57,919.50x = 126,910 × 126,910
  4. Step 4: Simplify right side
    57,919.50x = 16,106,148,100
  5. Step 5: Solve for x
    x = 16,106,148,100/57,919.50
  6. Step 6: Final answer
    x = 278,078.16

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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.