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Finding the Third Proportional to 64,867 and 82,886

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Solution

The third proportional to 64,867 and 82,886 is: 105,910.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,867 : 82,886 = 82,886 : x
  2. Step 2: Convert to fraction form
    64,867/82,886 = 82,886/x
  3. Step 3: Cross multiply
    64,867x = 82,886 × 82,886
  4. Step 4: Simplify right side
    64,867x = 6,870,088,996
  5. Step 5: Solve for x
    x = 6,870,088,996/64,867
  6. Step 6: Final answer
    x = 105,910.39

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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.