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Finding the Third Proportional to 82,174.50 and 174,939.75

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Solution

The third proportional to 82,174.50 and 174,939.75 is: 372,425.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,174.50 : 174,939.75 = 174,939.75 : x
  2. Step 2: Convert to fraction form
    82,174.50/174,939.75 = 174,939.75/x
  3. Step 3: Cross multiply
    82,174.50x = 174,939.75 × 174,939.75
  4. Step 4: Simplify right side
    82,174.50x = 30,603,916,130.06
  5. Step 5: Solve for x
    x = 30,603,916,130.06/82,174.50
  6. Step 6: Final answer
    x = 372,425.95

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.