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Finding the Third Proportional to 54,595.13 and 115,751.25

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Solution

The third proportional to 54,595.13 and 115,751.25 is: 245,412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,595.13 : 115,751.25 = 115,751.25 : x
  2. Step 2: Convert to fraction form
    54,595.13/115,751.25 = 115,751.25/x
  3. Step 3: Cross multiply
    54,595.13x = 115,751.25 × 115,751.25
  4. Step 4: Simplify right side
    54,595.13x = 13,398,351,876.56
  5. Step 5: Solve for x
    x = 13,398,351,876.56/54,595.13
  6. Step 6: Final answer
    x = 245,412.97

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.