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Finding the Third Proportional to 66,944 and 132,208

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Solution

The third proportional to 66,944 and 132,208 is: 261,098.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,944 : 132,208 = 132,208 : x
  2. Step 2: Convert to fraction form
    66,944/132,208 = 132,208/x
  3. Step 3: Cross multiply
    66,944x = 132,208 × 132,208
  4. Step 4: Simplify right side
    66,944x = 17,478,955,264
  5. Step 5: Solve for x
    x = 17,478,955,264/66,944
  6. Step 6: Final answer
    x = 261,098.16

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.