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Finding the Third Proportional to 54,840 and 118,003.50

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Solution

The third proportional to 54,840 and 118,003.50 is: 253,917.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,840 : 118,003.50 = 118,003.50 : x
  2. Step 2: Convert to fraction form
    54,840/118,003.50 = 118,003.50/x
  3. Step 3: Cross multiply
    54,840x = 118,003.50 × 118,003.50
  4. Step 4: Simplify right side
    54,840x = 13,924,826,012.25
  5. Step 5: Solve for x
    x = 13,924,826,012.25/54,840
  6. Step 6: Final answer
    x = 253,917.32

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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.