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Finding the Third Proportional to 64,577.25 and 86,609.25

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Solution

The third proportional to 64,577.25 and 86,609.25 is: 116,157.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,577.25 : 86,609.25 = 86,609.25 : x
  2. Step 2: Convert to fraction form
    64,577.25/86,609.25 = 86,609.25/x
  3. Step 3: Cross multiply
    64,577.25x = 86,609.25 × 86,609.25
  4. Step 4: Simplify right side
    64,577.25x = 7,501,162,185.56
  5. Step 5: Solve for x
    x = 7,501,162,185.56/64,577.25
  6. Step 6: Final answer
    x = 116,157.97

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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.