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Finding the Third Proportional to 96,698 and 147,927

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Solution

The third proportional to 96,698 and 147,927 is: 226,296.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,698 : 147,927 = 147,927 : x
  2. Step 2: Convert to fraction form
    96,698/147,927 = 147,927/x
  3. Step 3: Cross multiply
    96,698x = 147,927 × 147,927
  4. Step 4: Simplify right side
    96,698x = 21,882,397,329
  5. Step 5: Solve for x
    x = 21,882,397,329/96,698
  6. Step 6: Final answer
    x = 226,296.28

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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.