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Finding the Third Proportional to 68,083 and 105,661

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Solution

The third proportional to 68,083 and 105,661 is: 163,979.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,083 : 105,661 = 105,661 : x
  2. Step 2: Convert to fraction form
    68,083/105,661 = 105,661/x
  3. Step 3: Cross multiply
    68,083x = 105,661 × 105,661
  4. Step 4: Simplify right side
    68,083x = 11,164,246,921
  5. Step 5: Solve for x
    x = 11,164,246,921/68,083
  6. Step 6: Final answer
    x = 163,979.95

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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.