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Finding the Third Proportional to 92,042.25 and 189,957

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Solution

The third proportional to 92,042.25 and 189,957 is: 392,033.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,042.25 : 189,957 = 189,957 : x
  2. Step 2: Convert to fraction form
    92,042.25/189,957 = 189,957/x
  3. Step 3: Cross multiply
    92,042.25x = 189,957 × 189,957
  4. Step 4: Simplify right side
    92,042.25x = 36,083,661,849
  5. Step 5: Solve for x
    x = 36,083,661,849/92,042.25
  6. Step 6: Final answer
    x = 392,033.68

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.