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Finding the Third Proportional to 74,493 and 95,644.50

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Solution

The third proportional to 74,493 and 95,644.50 is: 122,801.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,493 : 95,644.50 = 95,644.50 : x
  2. Step 2: Convert to fraction form
    74,493/95,644.50 = 95,644.50/x
  3. Step 3: Cross multiply
    74,493x = 95,644.50 × 95,644.50
  4. Step 4: Simplify right side
    74,493x = 9,147,870,380.25
  5. Step 5: Solve for x
    x = 9,147,870,380.25/74,493
  6. Step 6: Final answer
    x = 122,801.74

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.