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Finding the Third Proportional to 51,543.50 and 109,837

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Solution

The third proportional to 51,543.50 and 109,837 is: 234,057.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,543.50 : 109,837 = 109,837 : x
  2. Step 2: Convert to fraction form
    51,543.50/109,837 = 109,837/x
  3. Step 3: Cross multiply
    51,543.50x = 109,837 × 109,837
  4. Step 4: Simplify right side
    51,543.50x = 12,064,166,569
  5. Step 5: Solve for x
    x = 12,064,166,569/51,543.50
  6. Step 6: Final answer
    x = 234,057.96

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.