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Finding the Third Proportional to 56,262 and 82,226

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Solution

The third proportional to 56,262 and 82,226 is: 120,171.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,262 : 82,226 = 82,226 : x
  2. Step 2: Convert to fraction form
    56,262/82,226 = 82,226/x
  3. Step 3: Cross multiply
    56,262x = 82,226 × 82,226
  4. Step 4: Simplify right side
    56,262x = 6,761,115,076
  5. Step 5: Solve for x
    x = 6,761,115,076/56,262
  6. Step 6: Final answer
    x = 120,171.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.