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Finding the Third Proportional to 64,727 and 86,925

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Solution

The third proportional to 64,727 and 86,925 is: 116,735.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,727 : 86,925 = 86,925 : x
  2. Step 2: Convert to fraction form
    64,727/86,925 = 86,925/x
  3. Step 3: Cross multiply
    64,727x = 86,925 × 86,925
  4. Step 4: Simplify right side
    64,727x = 7,555,955,625
  5. Step 5: Solve for x
    x = 7,555,955,625/64,727
  6. Step 6: Final answer
    x = 116,735.76

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.