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Finding the Third Proportional to 57,793 and 126,602

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Solution

The third proportional to 57,793 and 126,602 is: 277,335.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,793 : 126,602 = 126,602 : x
  2. Step 2: Convert to fraction form
    57,793/126,602 = 126,602/x
  3. Step 3: Cross multiply
    57,793x = 126,602 × 126,602
  4. Step 4: Simplify right side
    57,793x = 16,028,066,404
  5. Step 5: Solve for x
    x = 16,028,066,404/57,793
  6. Step 6: Final answer
    x = 277,335.77

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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.