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Finding the Third Proportional to 74,472.75 and 104,175

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Solution

The third proportional to 74,472.75 and 104,175 is: 145,723.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,472.75 : 104,175 = 104,175 : x
  2. Step 2: Convert to fraction form
    74,472.75/104,175 = 104,175/x
  3. Step 3: Cross multiply
    74,472.75x = 104,175 × 104,175
  4. Step 4: Simplify right side
    74,472.75x = 10,852,430,625
  5. Step 5: Solve for x
    x = 10,852,430,625/74,472.75
  6. Step 6: Final answer
    x = 145,723.51

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.