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Finding the Third Proportional to 54,735 and 117,655

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Solution

The third proportional to 54,735 and 117,655 is: 252,903.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,735 : 117,655 = 117,655 : x
  2. Step 2: Convert to fraction form
    54,735/117,655 = 117,655/x
  3. Step 3: Cross multiply
    54,735x = 117,655 × 117,655
  4. Step 4: Simplify right side
    54,735x = 13,842,699,025
  5. Step 5: Solve for x
    x = 13,842,699,025/54,735
  6. Step 6: Final answer
    x = 252,903.97

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.