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Finding the Third Proportional to 57,141 and 124,110

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Solution

The third proportional to 57,141 and 124,110 is: 269,566.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,141 : 124,110 = 124,110 : x
  2. Step 2: Convert to fraction form
    57,141/124,110 = 124,110/x
  3. Step 3: Cross multiply
    57,141x = 124,110 × 124,110
  4. Step 4: Simplify right side
    57,141x = 15,403,292,100
  5. Step 5: Solve for x
    x = 15,403,292,100/57,141
  6. Step 6: Final answer
    x = 269,566.37

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.