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Finding the Third Proportional to 64,008 and 132,110

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Solution

The third proportional to 64,008 and 132,110 is: 272,669.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,008 : 132,110 = 132,110 : x
  2. Step 2: Convert to fraction form
    64,008/132,110 = 132,110/x
  3. Step 3: Cross multiply
    64,008x = 132,110 × 132,110
  4. Step 4: Simplify right side
    64,008x = 17,453,052,100
  5. Step 5: Solve for x
    x = 17,453,052,100/64,008
  6. Step 6: Final answer
    x = 272,669.86

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.