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Finding the Third Proportional to 120,179.25 and 174,072.38

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Solution

The third proportional to 120,179.25 and 174,072.38 is: 252,133.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,179.25 : 174,072.38 = 174,072.38 : x
  2. Step 2: Convert to fraction form
    120,179.25/174,072.38 = 174,072.38/x
  3. Step 3: Cross multiply
    120,179.25x = 174,072.38 × 174,072.38
  4. Step 4: Simplify right side
    120,179.25x = 30,301,191,738.14
  5. Step 5: Solve for x
    x = 30,301,191,738.14/120,179.25
  6. Step 6: Final answer
    x = 252,133.31

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.