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Finding the Third Proportional to 49,157.25 and 75,561.75

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Solution

The third proportional to 49,157.25 and 75,561.75 is: 116,149.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,157.25 : 75,561.75 = 75,561.75 : x
  2. Step 2: Convert to fraction form
    49,157.25/75,561.75 = 75,561.75/x
  3. Step 3: Cross multiply
    49,157.25x = 75,561.75 × 75,561.75
  4. Step 4: Simplify right side
    49,157.25x = 5,709,578,063.06
  5. Step 5: Solve for x
    x = 5,709,578,063.06/49,157.25
  6. Step 6: Final answer
    x = 116,149.26

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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.