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Finding the Third Proportional to 59,656 and 126,224

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Solution

The third proportional to 59,656 and 126,224 is: 267,072.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,656 : 126,224 = 126,224 : x
  2. Step 2: Convert to fraction form
    59,656/126,224 = 126,224/x
  3. Step 3: Cross multiply
    59,656x = 126,224 × 126,224
  4. Step 4: Simplify right side
    59,656x = 15,932,498,176
  5. Step 5: Solve for x
    x = 15,932,498,176/59,656
  6. Step 6: Final answer
    x = 267,072.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.