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Finding the Third Proportional to 56,016.50 and 117,226

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Solution

The third proportional to 56,016.50 and 117,226 is: 245,319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,016.50 : 117,226 = 117,226 : x
  2. Step 2: Convert to fraction form
    56,016.50/117,226 = 117,226/x
  3. Step 3: Cross multiply
    56,016.50x = 117,226 × 117,226
  4. Step 4: Simplify right side
    56,016.50x = 13,741,935,076
  5. Step 5: Solve for x
    x = 13,741,935,076/56,016.50
  6. Step 6: Final answer
    x = 245,319.42

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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.