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Finding the Third Proportional to 92,127 and 193,542

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Solution

The third proportional to 92,127 and 193,542 is: 406,596.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,127 : 193,542 = 193,542 : x
  2. Step 2: Convert to fraction form
    92,127/193,542 = 193,542/x
  3. Step 3: Cross multiply
    92,127x = 193,542 × 193,542
  4. Step 4: Simplify right side
    92,127x = 37,458,505,764
  5. Step 5: Solve for x
    x = 37,458,505,764/92,127
  6. Step 6: Final answer
    x = 406,596.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.