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Finding the Third Proportional to 39,103 and 85,982.50

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Solution

The third proportional to 39,103 and 85,982.50 is: 189,064.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,103 : 85,982.50 = 85,982.50 : x
  2. Step 2: Convert to fraction form
    39,103/85,982.50 = 85,982.50/x
  3. Step 3: Cross multiply
    39,103x = 85,982.50 × 85,982.50
  4. Step 4: Simplify right side
    39,103x = 7,392,990,306.25
  5. Step 5: Solve for x
    x = 7,392,990,306.25/39,103
  6. Step 6: Final answer
    x = 189,064.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.