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Finding the Third Proportional to 68,866 and 106,413

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Solution

The third proportional to 68,866 and 106,413 is: 164,431.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,866 : 106,413 = 106,413 : x
  2. Step 2: Convert to fraction form
    68,866/106,413 = 106,413/x
  3. Step 3: Cross multiply
    68,866x = 106,413 × 106,413
  4. Step 4: Simplify right side
    68,866x = 11,323,726,569
  5. Step 5: Solve for x
    x = 11,323,726,569/68,866
  6. Step 6: Final answer
    x = 164,431.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.