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Finding the Third Proportional to 56,714 and 81,183

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Solution

The third proportional to 56,714 and 81,183 is: 116,209.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,714 : 81,183 = 81,183 : x
  2. Step 2: Convert to fraction form
    56,714/81,183 = 81,183/x
  3. Step 3: Cross multiply
    56,714x = 81,183 × 81,183
  4. Step 4: Simplify right side
    56,714x = 6,590,679,489
  5. Step 5: Solve for x
    x = 6,590,679,489/56,714
  6. Step 6: Final answer
    x = 116,209.04

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.