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Finding the Third Proportional to 104,589 and 154,413

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Solution

The third proportional to 104,589 and 154,413 is: 227,972.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,589 : 154,413 = 154,413 : x
  2. Step 2: Convert to fraction form
    104,589/154,413 = 154,413/x
  3. Step 3: Cross multiply
    104,589x = 154,413 × 154,413
  4. Step 4: Simplify right side
    104,589x = 23,843,374,569
  5. Step 5: Solve for x
    x = 23,843,374,569/104,589
  6. Step 6: Final answer
    x = 227,972.11

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.