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Finding the Third Proportional to 50,122 and 107,156

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Solution

The third proportional to 50,122 and 107,156 is: 229,089.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,122 : 107,156 = 107,156 : x
  2. Step 2: Convert to fraction form
    50,122/107,156 = 107,156/x
  3. Step 3: Cross multiply
    50,122x = 107,156 × 107,156
  4. Step 4: Simplify right side
    50,122x = 11,482,408,336
  5. Step 5: Solve for x
    x = 11,482,408,336/50,122
  6. Step 6: Final answer
    x = 229,089.19

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.