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Finding the Third Proportional to 92,763 and 140,004

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Solution

The third proportional to 92,763 and 140,004 is: 211,303.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,763 : 140,004 = 140,004 : x
  2. Step 2: Convert to fraction form
    92,763/140,004 = 140,004/x
  3. Step 3: Cross multiply
    92,763x = 140,004 × 140,004
  4. Step 4: Simplify right side
    92,763x = 19,601,120,016
  5. Step 5: Solve for x
    x = 19,601,120,016/92,763
  6. Step 6: Final answer
    x = 211,303.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.