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Finding the Third Proportional to 115,516.75 and 144,600.75

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Solution

The third proportional to 115,516.75 and 144,600.75 is: 181,007.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,516.75 : 144,600.75 = 144,600.75 : x
  2. Step 2: Convert to fraction form
    115,516.75/144,600.75 = 144,600.75/x
  3. Step 3: Cross multiply
    115,516.75x = 144,600.75 × 144,600.75
  4. Step 4: Simplify right side
    115,516.75x = 20,909,376,900.56
  5. Step 5: Solve for x
    x = 20,909,376,900.56/115,516.75
  6. Step 6: Final answer
    x = 181,007.32

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These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.