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Finding the Third Proportional to 57,834 and 90,744

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Solution

The third proportional to 57,834 and 90,744 is: 142,381.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,834 : 90,744 = 90,744 : x
  2. Step 2: Convert to fraction form
    57,834/90,744 = 90,744/x
  3. Step 3: Cross multiply
    57,834x = 90,744 × 90,744
  4. Step 4: Simplify right side
    57,834x = 8,234,473,536
  5. Step 5: Solve for x
    x = 8,234,473,536/57,834
  6. Step 6: Final answer
    x = 142,381.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.