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Finding the Third Proportional to 50,532.50 and 84,213.50

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Solution

The third proportional to 50,532.50 and 84,213.50 is: 140,343.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,532.50 : 84,213.50 = 84,213.50 : x
  2. Step 2: Convert to fraction form
    50,532.50/84,213.50 = 84,213.50/x
  3. Step 3: Cross multiply
    50,532.50x = 84,213.50 × 84,213.50
  4. Step 4: Simplify right side
    50,532.50x = 7,091,913,582.25
  5. Step 5: Solve for x
    x = 7,091,913,582.25/50,532.50
  6. Step 6: Final answer
    x = 140,343.61

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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.