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Finding the Third Proportional to 57,942 and 122,110.88

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Solution

The third proportional to 57,942 and 122,110.88 is: 257,344.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,942 : 122,110.88 = 122,110.88 : x
  2. Step 2: Convert to fraction form
    57,942/122,110.88 = 122,110.88/x
  3. Step 3: Cross multiply
    57,942x = 122,110.88 × 122,110.88
  4. Step 4: Simplify right side
    57,942x = 14,911,065,793.27
  5. Step 5: Solve for x
    x = 14,911,065,793.27/57,942
  6. Step 6: Final answer
    x = 257,344.69

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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.