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Finding the Third Proportional to 126,871 and 190,306

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Solution

The third proportional to 126,871 and 190,306 is: 285,458.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,871 : 190,306 = 190,306 : x
  2. Step 2: Convert to fraction form
    126,871/190,306 = 190,306/x
  3. Step 3: Cross multiply
    126,871x = 190,306 × 190,306
  4. Step 4: Simplify right side
    126,871x = 36,216,373,636
  5. Step 5: Solve for x
    x = 36,216,373,636/126,871
  6. Step 6: Final answer
    x = 285,458.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.