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Finding the Third Proportional to 96,698 and 146,991

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Solution

The third proportional to 96,698 and 146,991 is: 223,441.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,698 : 146,991 = 146,991 : x
  2. Step 2: Convert to fraction form
    96,698/146,991 = 146,991/x
  3. Step 3: Cross multiply
    96,698x = 146,991 × 146,991
  4. Step 4: Simplify right side
    96,698x = 21,606,354,081
  5. Step 5: Solve for x
    x = 21,606,354,081/96,698
  6. Step 6: Final answer
    x = 223,441.58

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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.