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Finding the Third Proportional to 31,703.25 and 74,974.75

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Solution

The third proportional to 31,703.25 and 74,974.75 is: 177,307.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,703.25 : 74,974.75 = 74,974.75 : x
  2. Step 2: Convert to fraction form
    31,703.25/74,974.75 = 74,974.75/x
  3. Step 3: Cross multiply
    31,703.25x = 74,974.75 × 74,974.75
  4. Step 4: Simplify right side
    31,703.25x = 5,621,213,137.56
  5. Step 5: Solve for x
    x = 5,621,213,137.56/31,703.25
  6. Step 6: Final answer
    x = 177,307.16

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.