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Finding the Third Proportional to 68,734 and 106,427

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Solution

The third proportional to 68,734 and 106,427 is: 164,790.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,734 : 106,427 = 106,427 : x
  2. Step 2: Convert to fraction form
    68,734/106,427 = 106,427/x
  3. Step 3: Cross multiply
    68,734x = 106,427 × 106,427
  4. Step 4: Simplify right side
    68,734x = 11,326,706,329
  5. Step 5: Solve for x
    x = 11,326,706,329/68,734
  6. Step 6: Final answer
    x = 164,790.44

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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.