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Finding the Third Proportional to 51,606.50 and 78,743.75

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Solution

The third proportional to 51,606.50 and 78,743.75 is: 120,151.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,606.50 : 78,743.75 = 78,743.75 : x
  2. Step 2: Convert to fraction form
    51,606.50/78,743.75 = 78,743.75/x
  3. Step 3: Cross multiply
    51,606.50x = 78,743.75 × 78,743.75
  4. Step 4: Simplify right side
    51,606.50x = 6,200,578,164.06
  5. Step 5: Solve for x
    x = 6,200,578,164.06/51,606.50
  6. Step 6: Final answer
    x = 120,151.11

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.