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Finding the Third Proportional to 57,789 and 126,594

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Solution

The third proportional to 57,789 and 126,594 is: 277,319.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,789 : 126,594 = 126,594 : x
  2. Step 2: Convert to fraction form
    57,789/126,594 = 126,594/x
  3. Step 3: Cross multiply
    57,789x = 126,594 × 126,594
  4. Step 4: Simplify right side
    57,789x = 16,026,040,836
  5. Step 5: Solve for x
    x = 16,026,040,836/57,789
  6. Step 6: Final answer
    x = 277,319.92

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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.