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Finding the Third Proportional to 94,473 and 132,096

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Solution

The third proportional to 94,473 and 132,096 is: 184,702.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,473 : 132,096 = 132,096 : x
  2. Step 2: Convert to fraction form
    94,473/132,096 = 132,096/x
  3. Step 3: Cross multiply
    94,473x = 132,096 × 132,096
  4. Step 4: Simplify right side
    94,473x = 17,449,353,216
  5. Step 5: Solve for x
    x = 17,449,353,216/94,473
  6. Step 6: Final answer
    x = 184,702.01

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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.