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Finding the Third Proportional to 94,133 and 131,663

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Solution

The third proportional to 94,133 and 131,663 is: 184,155.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,133 : 131,663 = 131,663 : x
  2. Step 2: Convert to fraction form
    94,133/131,663 = 131,663/x
  3. Step 3: Cross multiply
    94,133x = 131,663 × 131,663
  4. Step 4: Simplify right side
    94,133x = 17,335,145,569
  5. Step 5: Solve for x
    x = 17,335,145,569/94,133
  6. Step 6: Final answer
    x = 184,155.88

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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.