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Finding the Third Proportional to 31,146.50 and 73,121.25

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Solution

The third proportional to 31,146.50 and 73,121.25 is: 171,663.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,146.50 : 73,121.25 = 73,121.25 : x
  2. Step 2: Convert to fraction form
    31,146.50/73,121.25 = 73,121.25/x
  3. Step 3: Cross multiply
    31,146.50x = 73,121.25 × 73,121.25
  4. Step 4: Simplify right side
    31,146.50x = 5,346,717,201.56
  5. Step 5: Solve for x
    x = 5,346,717,201.56/31,146.50
  6. Step 6: Final answer
    x = 171,663.50

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.