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Finding the Third Proportional to 70,524.38 and 103,083.94

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Solution

The third proportional to 70,524.38 and 103,083.94 is: 150,675.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,524.38 : 103,083.94 = 103,083.94 : x
  2. Step 2: Convert to fraction form
    70,524.38/103,083.94 = 103,083.94/x
  3. Step 3: Cross multiply
    70,524.38x = 103,083.94 × 103,083.94
  4. Step 4: Simplify right side
    70,524.38x = 10,626,298,170.50
  5. Step 5: Solve for x
    x = 10,626,298,170.50/70,524.38
  6. Step 6: Final answer
    x = 150,675.54

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.