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Finding the Third Proportional to 51,926.50 and 112,965.50

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Solution

The third proportional to 51,926.50 and 112,965.50 is: 245,755.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,926.50 : 112,965.50 = 112,965.50 : x
  2. Step 2: Convert to fraction form
    51,926.50/112,965.50 = 112,965.50/x
  3. Step 3: Cross multiply
    51,926.50x = 112,965.50 × 112,965.50
  4. Step 4: Simplify right side
    51,926.50x = 12,761,204,190.25
  5. Step 5: Solve for x
    x = 12,761,204,190.25/51,926.50
  6. Step 6: Final answer
    x = 245,755.14

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.