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Finding the Third Proportional to 50,451 and 106,129

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Solution

The third proportional to 50,451 and 106,129 is: 223,253.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,451 : 106,129 = 106,129 : x
  2. Step 2: Convert to fraction form
    50,451/106,129 = 106,129/x
  3. Step 3: Cross multiply
    50,451x = 106,129 × 106,129
  4. Step 4: Simplify right side
    50,451x = 11,263,364,641
  5. Step 5: Solve for x
    x = 11,263,364,641/50,451
  6. Step 6: Final answer
    x = 223,253.55

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.