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Finding the Third Proportional to 57,719.38 and 86,346.81

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Solution

The third proportional to 57,719.38 and 86,346.81 is: 129,172.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,719.38 : 86,346.81 = 86,346.81 : x
  2. Step 2: Convert to fraction form
    57,719.38/86,346.81 = 86,346.81/x
  3. Step 3: Cross multiply
    57,719.38x = 86,346.81 × 86,346.81
  4. Step 4: Simplify right side
    57,719.38x = 7,455,772,028.91
  5. Step 5: Solve for x
    x = 7,455,772,028.91/57,719.38
  6. Step 6: Final answer
    x = 129,172.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.