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Finding the Third Proportional to 73,860 and 161,083.50

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Solution

The third proportional to 73,860 and 161,083.50 is: 351,311.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,860 : 161,083.50 = 161,083.50 : x
  2. Step 2: Convert to fraction form
    73,860/161,083.50 = 161,083.50/x
  3. Step 3: Cross multiply
    73,860x = 161,083.50 × 161,083.50
  4. Step 4: Simplify right side
    73,860x = 25,947,893,972.25
  5. Step 5: Solve for x
    x = 25,947,893,972.25/73,860
  6. Step 6: Final answer
    x = 351,311.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.