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Finding the Third Proportional to 67,701 and 146,702

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Solution

The third proportional to 67,701 and 146,702 is: 317,890.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,701 : 146,702 = 146,702 : x
  2. Step 2: Convert to fraction form
    67,701/146,702 = 146,702/x
  3. Step 3: Cross multiply
    67,701x = 146,702 × 146,702
  4. Step 4: Simplify right side
    67,701x = 21,521,476,804
  5. Step 5: Solve for x
    x = 21,521,476,804/67,701
  6. Step 6: Final answer
    x = 317,890.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.