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Finding the Third Proportional to 56,016 and 117,224

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Solution

The third proportional to 56,016 and 117,224 is: 245,313.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,016 : 117,224 = 117,224 : x
  2. Step 2: Convert to fraction form
    56,016/117,224 = 117,224/x
  3. Step 3: Cross multiply
    56,016x = 117,224 × 117,224
  4. Step 4: Simplify right side
    56,016x = 13,741,466,176
  5. Step 5: Solve for x
    x = 13,741,466,176/56,016
  6. Step 6: Final answer
    x = 245,313.24

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.