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Finding the Third Proportional to 68,264 and 106,855

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Solution

The third proportional to 68,264 and 106,855 is: 167,262.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,264 : 106,855 = 106,855 : x
  2. Step 2: Convert to fraction form
    68,264/106,855 = 106,855/x
  3. Step 3: Cross multiply
    68,264x = 106,855 × 106,855
  4. Step 4: Simplify right side
    68,264x = 11,417,991,025
  5. Step 5: Solve for x
    x = 11,417,991,025/68,264
  6. Step 6: Final answer
    x = 167,262.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.