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Finding the Third Proportional to 67,881 and 146,210

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Solution

The third proportional to 67,881 and 146,210 is: 314,924.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,881 : 146,210 = 146,210 : x
  2. Step 2: Convert to fraction form
    67,881/146,210 = 146,210/x
  3. Step 3: Cross multiply
    67,881x = 146,210 × 146,210
  4. Step 4: Simplify right side
    67,881x = 21,377,364,100
  5. Step 5: Solve for x
    x = 21,377,364,100/67,881
  6. Step 6: Final answer
    x = 314,924.12

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.