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Finding the Third Proportional to 82,102 and 104,907

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Solution

The third proportional to 82,102 and 104,907 is: 134,046.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,102 : 104,907 = 104,907 : x
  2. Step 2: Convert to fraction form
    82,102/104,907 = 104,907/x
  3. Step 3: Cross multiply
    82,102x = 104,907 × 104,907
  4. Step 4: Simplify right side
    82,102x = 11,005,478,649
  5. Step 5: Solve for x
    x = 11,005,478,649/82,102
  6. Step 6: Final answer
    x = 134,046.41

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.