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Finding the Third Proportional to 51,926.63 and 112,965.75

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Solution

The third proportional to 51,926.63 and 112,965.75 is: 245,755.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,926.63 : 112,965.75 = 112,965.75 : x
  2. Step 2: Convert to fraction form
    51,926.63/112,965.75 = 112,965.75/x
  3. Step 3: Cross multiply
    51,926.63x = 112,965.75 × 112,965.75
  4. Step 4: Simplify right side
    51,926.63x = 12,761,260,673.06
  5. Step 5: Solve for x
    x = 12,761,260,673.06/51,926.63
  6. Step 6: Final answer
    x = 245,755.63

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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.