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Finding the Third Proportional to 57,809.25 and 86,322.38

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Solution

The third proportional to 57,809.25 and 86,322.38 is: 128,898.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,809.25 : 86,322.38 = 86,322.38 : x
  2. Step 2: Convert to fraction form
    57,809.25/86,322.38 = 86,322.38/x
  3. Step 3: Cross multiply
    57,809.25x = 86,322.38 × 86,322.38
  4. Step 4: Simplify right side
    57,809.25x = 7,451,552,425.64
  5. Step 5: Solve for x
    x = 7,451,552,425.64/57,809.25
  6. Step 6: Final answer
    x = 128,898.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.