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Finding the Third Proportional to 126,129 and 187,396.50

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Solution

The third proportional to 126,129 and 187,396.50 is: 278,424.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,129 : 187,396.50 = 187,396.50 : x
  2. Step 2: Convert to fraction form
    126,129/187,396.50 = 187,396.50/x
  3. Step 3: Cross multiply
    126,129x = 187,396.50 × 187,396.50
  4. Step 4: Simplify right side
    126,129x = 35,117,448,212.25
  5. Step 5: Solve for x
    x = 35,117,448,212.25/126,129
  6. Step 6: Final answer
    x = 278,424.85

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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.