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Finding the Third Proportional to 68,027 and 102,109

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Solution

The third proportional to 68,027 and 102,109 is: 153,266.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,027 : 102,109 = 102,109 : x
  2. Step 2: Convert to fraction form
    68,027/102,109 = 102,109/x
  3. Step 3: Cross multiply
    68,027x = 102,109 × 102,109
  4. Step 4: Simplify right side
    68,027x = 10,426,247,881
  5. Step 5: Solve for x
    x = 10,426,247,881/68,027
  6. Step 6: Final answer
    x = 153,266.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.