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Finding the Third Proportional to 62,111 and 96,857

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Solution

The third proportional to 62,111 and 96,857 is: 151,040.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,111 : 96,857 = 96,857 : x
  2. Step 2: Convert to fraction form
    62,111/96,857 = 96,857/x
  3. Step 3: Cross multiply
    62,111x = 96,857 × 96,857
  4. Step 4: Simplify right side
    62,111x = 9,381,278,449
  5. Step 5: Solve for x
    x = 9,381,278,449/62,111
  6. Step 6: Final answer
    x = 151,040.53

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.