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Finding the Third Proportional to 74,771 and 106,647

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Solution

The third proportional to 74,771 and 106,647 is: 152,112.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,771 : 106,647 = 106,647 : x
  2. Step 2: Convert to fraction form
    74,771/106,647 = 106,647/x
  3. Step 3: Cross multiply
    74,771x = 106,647 × 106,647
  4. Step 4: Simplify right side
    74,771x = 11,373,582,609
  5. Step 5: Solve for x
    x = 11,373,582,609/74,771
  6. Step 6: Final answer
    x = 152,112.22

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.