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Finding the Third Proportional to 94,760 and 146,728

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Solution

The third proportional to 94,760 and 146,728 is: 227,196.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,760 : 146,728 = 146,728 : x
  2. Step 2: Convert to fraction form
    94,760/146,728 = 146,728/x
  3. Step 3: Cross multiply
    94,760x = 146,728 × 146,728
  4. Step 4: Simplify right side
    94,760x = 21,529,105,984
  5. Step 5: Solve for x
    x = 21,529,105,984/94,760
  6. Step 6: Final answer
    x = 227,196.14

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.