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Finding the Third Proportional to 61,644 and 126,208

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Solution

The third proportional to 61,644 and 126,208 is: 258,394.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,644 : 126,208 = 126,208 : x
  2. Step 2: Convert to fraction form
    61,644/126,208 = 126,208/x
  3. Step 3: Cross multiply
    61,644x = 126,208 × 126,208
  4. Step 4: Simplify right side
    61,644x = 15,928,459,264
  5. Step 5: Solve for x
    x = 15,928,459,264/61,644
  6. Step 6: Final answer
    x = 258,394.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.