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Finding the Third Proportional to 56,024 and 86,744

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Solution

The third proportional to 56,024 and 86,744 is: 134,308.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,024 : 86,744 = 86,744 : x
  2. Step 2: Convert to fraction form
    56,024/86,744 = 86,744/x
  3. Step 3: Cross multiply
    56,024x = 86,744 × 86,744
  4. Step 4: Simplify right side
    56,024x = 7,524,521,536
  5. Step 5: Solve for x
    x = 7,524,521,536/56,024
  6. Step 6: Final answer
    x = 134,308.90

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.