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Finding the Third Proportional to 54,686.50 and 116,956

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Solution

The third proportional to 54,686.50 and 116,956 is: 250,129.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,686.50 : 116,956 = 116,956 : x
  2. Step 2: Convert to fraction form
    54,686.50/116,956 = 116,956/x
  3. Step 3: Cross multiply
    54,686.50x = 116,956 × 116,956
  4. Step 4: Simplify right side
    54,686.50x = 13,678,705,936
  5. Step 5: Solve for x
    x = 13,678,705,936/54,686.50
  6. Step 6: Final answer
    x = 250,129.48

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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.