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Finding the Third Proportional to 96,718 and 147,939

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Solution

The third proportional to 96,718 and 147,939 is: 226,286.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,718 : 147,939 = 147,939 : x
  2. Step 2: Convert to fraction form
    96,718/147,939 = 147,939/x
  3. Step 3: Cross multiply
    96,718x = 147,939 × 147,939
  4. Step 4: Simplify right side
    96,718x = 21,885,947,721
  5. Step 5: Solve for x
    x = 21,885,947,721/96,718
  6. Step 6: Final answer
    x = 226,286.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.