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Finding the Third Proportional to 57,104 and 90,934

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Solution

The third proportional to 57,104 and 90,934 is: 144,805.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,104 : 90,934 = 90,934 : x
  2. Step 2: Convert to fraction form
    57,104/90,934 = 90,934/x
  3. Step 3: Cross multiply
    57,104x = 90,934 × 90,934
  4. Step 4: Simplify right side
    57,104x = 8,268,992,356
  5. Step 5: Solve for x
    x = 8,268,992,356/57,104
  6. Step 6: Final answer
    x = 144,805.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.