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Finding the Third Proportional to 43,137 and 57,969

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Solution

The third proportional to 43,137 and 57,969 is: 77,900.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,137 : 57,969 = 57,969 : x
  2. Step 2: Convert to fraction form
    43,137/57,969 = 57,969/x
  3. Step 3: Cross multiply
    43,137x = 57,969 × 57,969
  4. Step 4: Simplify right side
    43,137x = 3,360,404,961
  5. Step 5: Solve for x
    x = 3,360,404,961/43,137
  6. Step 6: Final answer
    x = 77,900.76

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.