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Finding the Third Proportional to 57,874.50 and 117,357.75

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Solution

The third proportional to 57,874.50 and 117,357.75 is: 237,977.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,874.50 : 117,357.75 = 117,357.75 : x
  2. Step 2: Convert to fraction form
    57,874.50/117,357.75 = 117,357.75/x
  3. Step 3: Cross multiply
    57,874.50x = 117,357.75 × 117,357.75
  4. Step 4: Simplify right side
    57,874.50x = 13,772,841,485.06
  5. Step 5: Solve for x
    x = 13,772,841,485.06/57,874.50
  6. Step 6: Final answer
    x = 237,977.72

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.