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Finding the Third Proportional to 68,006 and 102,009

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Solution

The third proportional to 68,006 and 102,009 is: 153,013.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,006 : 102,009 = 102,009 : x
  2. Step 2: Convert to fraction form
    68,006/102,009 = 102,009/x
  3. Step 3: Cross multiply
    68,006x = 102,009 × 102,009
  4. Step 4: Simplify right side
    68,006x = 10,405,836,081
  5. Step 5: Solve for x
    x = 10,405,836,081/68,006
  6. Step 6: Final answer
    x = 153,013.50

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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.