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Finding the Third Proportional to 67,886 and 149,158

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Solution

The third proportional to 67,886 and 149,158 is: 327,727.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,886 : 149,158 = 149,158 : x
  2. Step 2: Convert to fraction form
    67,886/149,158 = 149,158/x
  3. Step 3: Cross multiply
    67,886x = 149,158 × 149,158
  4. Step 4: Simplify right side
    67,886x = 22,248,108,964
  5. Step 5: Solve for x
    x = 22,248,108,964/67,886
  6. Step 6: Final answer
    x = 327,727.50

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.