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Finding the Third Proportional to 67,206 and 146,508

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Solution

The third proportional to 67,206 and 146,508 is: 319,385.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,206 : 146,508 = 146,508 : x
  2. Step 2: Convert to fraction form
    67,206/146,508 = 146,508/x
  3. Step 3: Cross multiply
    67,206x = 146,508 × 146,508
  4. Step 4: Simplify right side
    67,206x = 21,464,594,064
  5. Step 5: Solve for x
    x = 21,464,594,064/67,206
  6. Step 6: Final answer
    x = 319,385.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.