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Finding the Third Proportional to 57,716 and 86,956

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Solution

The third proportional to 57,716 and 86,956 is: 131,009.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,716 : 86,956 = 86,956 : x
  2. Step 2: Convert to fraction form
    57,716/86,956 = 86,956/x
  3. Step 3: Cross multiply
    57,716x = 86,956 × 86,956
  4. Step 4: Simplify right side
    57,716x = 7,561,345,936
  5. Step 5: Solve for x
    x = 7,561,345,936/57,716
  6. Step 6: Final answer
    x = 131,009.53

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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.