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Finding the Third Proportional to 56,821 and 86,962

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Solution

The third proportional to 56,821 and 86,962 is: 133,091.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,821 : 86,962 = 86,962 : x
  2. Step 2: Convert to fraction form
    56,821/86,962 = 86,962/x
  3. Step 3: Cross multiply
    56,821x = 86,962 × 86,962
  4. Step 4: Simplify right side
    56,821x = 7,562,389,444
  5. Step 5: Solve for x
    x = 7,562,389,444/56,821
  6. Step 6: Final answer
    x = 133,091.45

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.