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Finding the Third Proportional to 75,092 and 104,983

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Solution

The third proportional to 75,092 and 104,983 is: 146,772.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,092 : 104,983 = 104,983 : x
  2. Step 2: Convert to fraction form
    75,092/104,983 = 104,983/x
  3. Step 3: Cross multiply
    75,092x = 104,983 × 104,983
  4. Step 4: Simplify right side
    75,092x = 11,021,430,289
  5. Step 5: Solve for x
    x = 11,021,430,289/75,092
  6. Step 6: Final answer
    x = 146,772.36

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.