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Finding the Third Proportional to 92,766 and 134,004

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Solution

The third proportional to 92,766 and 134,004 is: 193,573.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,766 : 134,004 = 134,004 : x
  2. Step 2: Convert to fraction form
    92,766/134,004 = 134,004/x
  3. Step 3: Cross multiply
    92,766x = 134,004 × 134,004
  4. Step 4: Simplify right side
    92,766x = 17,957,072,016
  5. Step 5: Solve for x
    x = 17,957,072,016/92,766
  6. Step 6: Final answer
    x = 193,573.85

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.