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Finding the Third Proportional to 128,049 and 187,151.25

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Solution

The third proportional to 128,049 and 187,151.25 is: 273,532.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,049 : 187,151.25 = 187,151.25 : x
  2. Step 2: Convert to fraction form
    128,049/187,151.25 = 187,151.25/x
  3. Step 3: Cross multiply
    128,049x = 187,151.25 × 187,151.25
  4. Step 4: Simplify right side
    128,049x = 35,025,590,376.56
  5. Step 5: Solve for x
    x = 35,025,590,376.56/128,049
  6. Step 6: Final answer
    x = 273,532.71

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.