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Finding the Third Proportional to 94,185 and 132,000

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Solution

The third proportional to 94,185 and 132,000 is: 184,997.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,185 : 132,000 = 132,000 : x
  2. Step 2: Convert to fraction form
    94,185/132,000 = 132,000/x
  3. Step 3: Cross multiply
    94,185x = 132,000 × 132,000
  4. Step 4: Simplify right side
    94,185x = 17,424,000,000
  5. Step 5: Solve for x
    x = 17,424,000,000/94,185
  6. Step 6: Final answer
    x = 184,997.61

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.