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Finding the Third Proportional to 68,666 and 106,111

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Solution

The third proportional to 68,666 and 106,111 is: 163,975.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,666 : 106,111 = 106,111 : x
  2. Step 2: Convert to fraction form
    68,666/106,111 = 106,111/x
  3. Step 3: Cross multiply
    68,666x = 106,111 × 106,111
  4. Step 4: Simplify right side
    68,666x = 11,259,544,321
  5. Step 5: Solve for x
    x = 11,259,544,321/68,666
  6. Step 6: Final answer
    x = 163,975.54

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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.