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Finding the Third Proportional to 52,213.50 and 73,377

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Solution

The third proportional to 52,213.50 and 73,377 is: 103,118.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,213.50 : 73,377 = 73,377 : x
  2. Step 2: Convert to fraction form
    52,213.50/73,377 = 73,377/x
  3. Step 3: Cross multiply
    52,213.50x = 73,377 × 73,377
  4. Step 4: Simplify right side
    52,213.50x = 5,384,184,129
  5. Step 5: Solve for x
    x = 5,384,184,129/52,213.50
  6. Step 6: Final answer
    x = 103,118.62

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.