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Finding the Third Proportional to 43,123 and 92,803

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Solution

The third proportional to 43,123 and 92,803 is: 199,717.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,123 : 92,803 = 92,803 : x
  2. Step 2: Convert to fraction form
    43,123/92,803 = 92,803/x
  3. Step 3: Cross multiply
    43,123x = 92,803 × 92,803
  4. Step 4: Simplify right side
    43,123x = 8,612,396,809
  5. Step 5: Solve for x
    x = 8,612,396,809/43,123
  6. Step 6: Final answer
    x = 199,717.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.