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Finding the Third Proportional to 94,601 and 146,483

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Solution

The third proportional to 94,601 and 146,483 is: 226,818.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,601 : 146,483 = 146,483 : x
  2. Step 2: Convert to fraction form
    94,601/146,483 = 146,483/x
  3. Step 3: Cross multiply
    94,601x = 146,483 × 146,483
  4. Step 4: Simplify right side
    94,601x = 21,457,269,289
  5. Step 5: Solve for x
    x = 21,457,269,289/94,601
  6. Step 6: Final answer
    x = 226,818.63

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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.