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Finding the Third Proportional to 92,622 and 140,931

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Solution

The third proportional to 92,622 and 140,931 is: 214,436.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,622 : 140,931 = 140,931 : x
  2. Step 2: Convert to fraction form
    92,622/140,931 = 140,931/x
  3. Step 3: Cross multiply
    92,622x = 140,931 × 140,931
  4. Step 4: Simplify right side
    92,622x = 19,861,546,761
  5. Step 5: Solve for x
    x = 19,861,546,761/92,622
  6. Step 6: Final answer
    x = 214,436.60

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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.