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Finding the Third Proportional to 69,641 and 106,094

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Solution

The third proportional to 69,641 and 106,094 is: 161,628.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,641 : 106,094 = 106,094 : x
  2. Step 2: Convert to fraction form
    69,641/106,094 = 106,094/x
  3. Step 3: Cross multiply
    69,641x = 106,094 × 106,094
  4. Step 4: Simplify right side
    69,641x = 11,255,936,836
  5. Step 5: Solve for x
    x = 11,255,936,836/69,641
  6. Step 6: Final answer
    x = 161,628.02

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.