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Finding the Third Proportional to 55,793 and 83,811

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Solution

The third proportional to 55,793 and 83,811 is: 125,899.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,793 : 83,811 = 83,811 : x
  2. Step 2: Convert to fraction form
    55,793/83,811 = 83,811/x
  3. Step 3: Cross multiply
    55,793x = 83,811 × 83,811
  4. Step 4: Simplify right side
    55,793x = 7,024,283,721
  5. Step 5: Solve for x
    x = 7,024,283,721/55,793
  6. Step 6: Final answer
    x = 125,899.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.