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Finding the Third Proportional to 57,796 and 91,542

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Solution

The third proportional to 57,796 and 91,542 is: 144,991.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,796 : 91,542 = 91,542 : x
  2. Step 2: Convert to fraction form
    57,796/91,542 = 91,542/x
  3. Step 3: Cross multiply
    57,796x = 91,542 × 91,542
  4. Step 4: Simplify right side
    57,796x = 8,379,937,764
  5. Step 5: Solve for x
    x = 8,379,937,764/57,796
  6. Step 6: Final answer
    x = 144,991.66

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.