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Finding the Third Proportional to 43,140 and 57,976

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Solution

The third proportional to 43,140 and 57,976 is: 77,914.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,140 : 57,976 = 57,976 : x
  2. Step 2: Convert to fraction form
    43,140/57,976 = 57,976/x
  3. Step 3: Cross multiply
    43,140x = 57,976 × 57,976
  4. Step 4: Simplify right side
    43,140x = 3,361,216,576
  5. Step 5: Solve for x
    x = 3,361,216,576/43,140
  6. Step 6: Final answer
    x = 77,914.15

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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.