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Finding the Third Proportional to 60,333 and 98,601

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Solution

The third proportional to 60,333 and 98,601 is: 161,141.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,333 : 98,601 = 98,601 : x
  2. Step 2: Convert to fraction form
    60,333/98,601 = 98,601/x
  3. Step 3: Cross multiply
    60,333x = 98,601 × 98,601
  4. Step 4: Simplify right side
    60,333x = 9,722,157,201
  5. Step 5: Solve for x
    x = 9,722,157,201/60,333
  6. Step 6: Final answer
    x = 161,141.62

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.