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Finding the Third Proportional to 56,270 and 81,165

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Solution

The third proportional to 56,270 and 81,165 is: 117,074.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,270 : 81,165 = 81,165 : x
  2. Step 2: Convert to fraction form
    56,270/81,165 = 81,165/x
  3. Step 3: Cross multiply
    56,270x = 81,165 × 81,165
  4. Step 4: Simplify right side
    56,270x = 6,587,757,225
  5. Step 5: Solve for x
    x = 6,587,757,225/56,270
  6. Step 6: Final answer
    x = 117,074.06

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.