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Finding the Third Proportional to 64,986 and 95,173

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Solution

The third proportional to 64,986 and 95,173 is: 139,382.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,986 : 95,173 = 95,173 : x
  2. Step 2: Convert to fraction form
    64,986/95,173 = 95,173/x
  3. Step 3: Cross multiply
    64,986x = 95,173 × 95,173
  4. Step 4: Simplify right side
    64,986x = 9,057,899,929
  5. Step 5: Solve for x
    x = 9,057,899,929/64,986
  6. Step 6: Final answer
    x = 139,382.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.