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Finding the Third Proportional to 51,847.50 and 109,230

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Solution

The third proportional to 51,847.50 and 109,230 is: 230,120.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,847.50 : 109,230 = 109,230 : x
  2. Step 2: Convert to fraction form
    51,847.50/109,230 = 109,230/x
  3. Step 3: Cross multiply
    51,847.50x = 109,230 × 109,230
  4. Step 4: Simplify right side
    51,847.50x = 11,931,192,900
  5. Step 5: Solve for x
    x = 11,931,192,900/51,847.50
  6. Step 6: Final answer
    x = 230,120.89

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.