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Finding the Third Proportional to 67,703 and 146,706

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Solution

The third proportional to 67,703 and 146,706 is: 317,898.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,703 : 146,706 = 146,706 : x
  2. Step 2: Convert to fraction form
    67,703/146,706 = 146,706/x
  3. Step 3: Cross multiply
    67,703x = 146,706 × 146,706
  4. Step 4: Simplify right side
    67,703x = 21,522,650,436
  5. Step 5: Solve for x
    x = 21,522,650,436/67,703
  6. Step 6: Final answer
    x = 317,898.03

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