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Finding the Third Proportional to 31,101.75 and 72,042.75

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Solution

The third proportional to 31,101.75 and 72,042.75 is: 166,876.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,101.75 : 72,042.75 = 72,042.75 : x
  2. Step 2: Convert to fraction form
    31,101.75/72,042.75 = 72,042.75/x
  3. Step 3: Cross multiply
    31,101.75x = 72,042.75 × 72,042.75
  4. Step 4: Simplify right side
    31,101.75x = 5,190,157,827.56
  5. Step 5: Solve for x
    x = 5,190,157,827.56/31,101.75
  6. Step 6: Final answer
    x = 166,876.71

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.