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Finding the Third Proportional to 67,906 and 149,348

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Solution

The third proportional to 67,906 and 149,348 is: 328,466.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,906 : 149,348 = 149,348 : x
  2. Step 2: Convert to fraction form
    67,906/149,348 = 149,348/x
  3. Step 3: Cross multiply
    67,906x = 149,348 × 149,348
  4. Step 4: Simplify right side
    67,906x = 22,304,825,104
  5. Step 5: Solve for x
    x = 22,304,825,104/67,906
  6. Step 6: Final answer
    x = 328,466.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.