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Finding the Third Proportional to 45,992 and 95,278

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Solution

The third proportional to 45,992 and 95,278 is: 197,379.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,992 : 95,278 = 95,278 : x
  2. Step 2: Convert to fraction form
    45,992/95,278 = 95,278/x
  3. Step 3: Cross multiply
    45,992x = 95,278 × 95,278
  4. Step 4: Simplify right side
    45,992x = 9,077,897,284
  5. Step 5: Solve for x
    x = 9,077,897,284/45,992
  6. Step 6: Final answer
    x = 197,379.92

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.