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Finding the Third Proportional to 56,016 and 85,192

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Solution

The third proportional to 56,016 and 85,192 is: 129,564.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,016 : 85,192 = 85,192 : x
  2. Step 2: Convert to fraction form
    56,016/85,192 = 85,192/x
  3. Step 3: Cross multiply
    56,016x = 85,192 × 85,192
  4. Step 4: Simplify right side
    56,016x = 7,257,676,864
  5. Step 5: Solve for x
    x = 7,257,676,864/56,016
  6. Step 6: Final answer
    x = 129,564.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.