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Finding the Third Proportional to 51,647.63 and 79,749.56

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Solution

The third proportional to 51,647.63 and 79,749.56 is: 123,142.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,647.63 : 79,749.56 = 79,749.56 : x
  2. Step 2: Convert to fraction form
    51,647.63/79,749.56 = 79,749.56/x
  3. Step 3: Cross multiply
    51,647.63x = 79,749.56 × 79,749.56
  4. Step 4: Simplify right side
    51,647.63x = 6,359,992,718.94
  5. Step 5: Solve for x
    x = 6,359,992,718.94/51,647.63
  6. Step 6: Final answer
    x = 123,142.02

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.