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Finding the Third Proportional to 53,854 and 113,218.75

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Solution

The third proportional to 53,854 and 113,218.75 is: 238,022.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,854 : 113,218.75 = 113,218.75 : x
  2. Step 2: Convert to fraction form
    53,854/113,218.75 = 113,218.75/x
  3. Step 3: Cross multiply
    53,854x = 113,218.75 × 113,218.75
  4. Step 4: Simplify right side
    53,854x = 12,818,485,351.56
  5. Step 5: Solve for x
    x = 12,818,485,351.56/53,854
  6. Step 6: Final answer
    x = 238,022.90

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.