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Finding the Third Proportional to 54,090.50 and 115,654

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Solution

The third proportional to 54,090.50 and 115,654 is: 247,286.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,090.50 : 115,654 = 115,654 : x
  2. Step 2: Convert to fraction form
    54,090.50/115,654 = 115,654/x
  3. Step 3: Cross multiply
    54,090.50x = 115,654 × 115,654
  4. Step 4: Simplify right side
    54,090.50x = 13,375,847,716
  5. Step 5: Solve for x
    x = 13,375,847,716/54,090.50
  6. Step 6: Final answer
    x = 247,286.45

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.