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Finding the Third Proportional to 57,884.50 and 118,841

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Solution

The third proportional to 57,884.50 and 118,841 is: 243,989.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,884.50 : 118,841 = 118,841 : x
  2. Step 2: Convert to fraction form
    57,884.50/118,841 = 118,841/x
  3. Step 3: Cross multiply
    57,884.50x = 118,841 × 118,841
  4. Step 4: Simplify right side
    57,884.50x = 14,123,183,281
  5. Step 5: Solve for x
    x = 14,123,183,281/57,884.50
  6. Step 6: Final answer
    x = 243,989.03

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.