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Finding the Third Proportional to 93,453 and 146,874

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Solution

The third proportional to 93,453 and 146,874 is: 230,832.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,453 : 146,874 = 146,874 : x
  2. Step 2: Convert to fraction form
    93,453/146,874 = 146,874/x
  3. Step 3: Cross multiply
    93,453x = 146,874 × 146,874
  4. Step 4: Simplify right side
    93,453x = 21,571,971,876
  5. Step 5: Solve for x
    x = 21,571,971,876/93,453
  6. Step 6: Final answer
    x = 230,832.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.