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Finding the Third Proportional to 56,764 and 85,932

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Solution

The third proportional to 56,764 and 85,932 is: 130,087.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,764 : 85,932 = 85,932 : x
  2. Step 2: Convert to fraction form
    56,764/85,932 = 85,932/x
  3. Step 3: Cross multiply
    56,764x = 85,932 × 85,932
  4. Step 4: Simplify right side
    56,764x = 7,384,308,624
  5. Step 5: Solve for x
    x = 7,384,308,624/56,764
  6. Step 6: Final answer
    x = 130,087.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.