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Finding the Third Proportional to 67,162 and 102,850

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Solution

The third proportional to 67,162 and 102,850 is: 157,501.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,162 : 102,850 = 102,850 : x
  2. Step 2: Convert to fraction form
    67,162/102,850 = 102,850/x
  3. Step 3: Cross multiply
    67,162x = 102,850 × 102,850
  4. Step 4: Simplify right side
    67,162x = 10,578,122,500
  5. Step 5: Solve for x
    x = 10,578,122,500/67,162
  6. Step 6: Final answer
    x = 157,501.60

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.