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Finding the Third Proportional to 96,745 and 146,578

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Solution

The third proportional to 96,745 and 146,578 is: 222,079.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,745 : 146,578 = 146,578 : x
  2. Step 2: Convert to fraction form
    96,745/146,578 = 146,578/x
  3. Step 3: Cross multiply
    96,745x = 146,578 × 146,578
  4. Step 4: Simplify right side
    96,745x = 21,485,110,084
  5. Step 5: Solve for x
    x = 21,485,110,084/96,745
  6. Step 6: Final answer
    x = 222,079.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.