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Finding the Third Proportional to 126,198 and 187,484.63

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Solution

The third proportional to 126,198 and 187,484.63 is: 278,534.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,198 : 187,484.63 = 187,484.63 : x
  2. Step 2: Convert to fraction form
    126,198/187,484.63 = 187,484.63/x
  3. Step 3: Cross multiply
    126,198x = 187,484.63 × 187,484.63
  4. Step 4: Simplify right side
    126,198x = 35,150,484,611.39
  5. Step 5: Solve for x
    x = 35,150,484,611.39/126,198
  6. Step 6: Final answer
    x = 278,534.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.