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Finding the Third Proportional to 51,093.28 and 75,132.56

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Solution

The third proportional to 51,093.28 and 75,132.56 is: 110,482.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,093.28 : 75,132.56 = 75,132.56 : x
  2. Step 2: Convert to fraction form
    51,093.28/75,132.56 = 75,132.56/x
  3. Step 3: Cross multiply
    51,093.28x = 75,132.56 × 75,132.56
  4. Step 4: Simplify right side
    51,093.28x = 5,644,901,947.82
  5. Step 5: Solve for x
    x = 5,644,901,947.82/51,093.28
  6. Step 6: Final answer
    x = 110,482.27

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.