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Finding the Third Proportional to 96,994 and 149,775

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Solution

The third proportional to 96,994 and 149,775 is: 231,277.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,994 : 149,775 = 149,775 : x
  2. Step 2: Convert to fraction form
    96,994/149,775 = 149,775/x
  3. Step 3: Cross multiply
    96,994x = 149,775 × 149,775
  4. Step 4: Simplify right side
    96,994x = 22,432,550,625
  5. Step 5: Solve for x
    x = 22,432,550,625/96,994
  6. Step 6: Final answer
    x = 231,277.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.