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Finding the Third Proportional to 107,166 and 150,957

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Solution

The third proportional to 107,166 and 150,957 is: 212,642.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,166 : 150,957 = 150,957 : x
  2. Step 2: Convert to fraction form
    107,166/150,957 = 150,957/x
  3. Step 3: Cross multiply
    107,166x = 150,957 × 150,957
  4. Step 4: Simplify right side
    107,166x = 22,788,015,849
  5. Step 5: Solve for x
    x = 22,788,015,849/107,166
  6. Step 6: Final answer
    x = 212,642.22

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.