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Finding the Third Proportional to 57,332.39 and 84,313.41

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Solution

The third proportional to 57,332.39 and 84,313.41 is: 123,991.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,332.39 : 84,313.41 = 84,313.41 : x
  2. Step 2: Convert to fraction form
    57,332.39/84,313.41 = 84,313.41/x
  3. Step 3: Cross multiply
    57,332.39x = 84,313.41 × 84,313.41
  4. Step 4: Simplify right side
    57,332.39x = 7,108,750,473.48
  5. Step 5: Solve for x
    x = 7,108,750,473.48/57,332.39
  6. Step 6: Final answer
    x = 123,991.87

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.