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Finding the Third Proportional to 115,057.13 and 176,604.19

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Solution

The third proportional to 115,057.13 and 176,604.19 is: 271,074.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,057.13 : 176,604.19 = 176,604.19 : x
  2. Step 2: Convert to fraction form
    115,057.13/176,604.19 = 176,604.19/x
  3. Step 3: Cross multiply
    115,057.13x = 176,604.19 × 176,604.19
  4. Step 4: Simplify right side
    115,057.13x = 31,189,039,042.54
  5. Step 5: Solve for x
    x = 31,189,039,042.54/115,057.13
  6. Step 6: Final answer
    x = 271,074.38

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.