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Finding the Third Proportional to 50,518.50 and 84,193.50

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Solution

The third proportional to 50,518.50 and 84,193.50 is: 140,315.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,518.50 : 84,193.50 = 84,193.50 : x
  2. Step 2: Convert to fraction form
    50,518.50/84,193.50 = 84,193.50/x
  3. Step 3: Cross multiply
    50,518.50x = 84,193.50 × 84,193.50
  4. Step 4: Simplify right side
    50,518.50x = 7,088,545,442.25
  5. Step 5: Solve for x
    x = 7,088,545,442.25/50,518.50
  6. Step 6: Final answer
    x = 140,315.83

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.