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Finding the Third Proportional to 57,783 and 126,582

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Solution

The third proportional to 57,783 and 126,582 is: 277,296.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,783 : 126,582 = 126,582 : x
  2. Step 2: Convert to fraction form
    57,783/126,582 = 126,582/x
  3. Step 3: Cross multiply
    57,783x = 126,582 × 126,582
  4. Step 4: Simplify right side
    57,783x = 16,023,002,724
  5. Step 5: Solve for x
    x = 16,023,002,724/57,783
  6. Step 6: Final answer
    x = 277,296.14

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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.