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Finding the Third Proportional to 50,350 and 70,581.50

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Solution

The third proportional to 50,350 and 70,581.50 is: 98,942.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,350 : 70,581.50 = 70,581.50 : x
  2. Step 2: Convert to fraction form
    50,350/70,581.50 = 70,581.50/x
  3. Step 3: Cross multiply
    50,350x = 70,581.50 × 70,581.50
  4. Step 4: Simplify right side
    50,350x = 4,981,748,142.25
  5. Step 5: Solve for x
    x = 4,981,748,142.25/50,350
  6. Step 6: Final answer
    x = 98,942.37

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.