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Finding the Third Proportional to 57,103 and 83,917

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Solution

The third proportional to 57,103 and 83,917 is: 123,322.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,103 : 83,917 = 83,917 : x
  2. Step 2: Convert to fraction form
    57,103/83,917 = 83,917/x
  3. Step 3: Cross multiply
    57,103x = 83,917 × 83,917
  4. Step 4: Simplify right side
    57,103x = 7,042,062,889
  5. Step 5: Solve for x
    x = 7,042,062,889/57,103
  6. Step 6: Final answer
    x = 123,322.12

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.