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Finding the Third Proportional to 50,358 and 67,747.50

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Solution

The third proportional to 50,358 and 67,747.50 is: 91,141.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,358 : 67,747.50 = 67,747.50 : x
  2. Step 2: Convert to fraction form
    50,358/67,747.50 = 67,747.50/x
  3. Step 3: Cross multiply
    50,358x = 67,747.50 × 67,747.50
  4. Step 4: Simplify right side
    50,358x = 4,589,723,756.25
  5. Step 5: Solve for x
    x = 4,589,723,756.25/50,358
  6. Step 6: Final answer
    x = 91,141.90

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.