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Finding the Third Proportional to 106,981.50 and 160,899

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Solution

The third proportional to 106,981.50 and 160,899 is: 241,990.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,981.50 : 160,899 = 160,899 : x
  2. Step 2: Convert to fraction form
    106,981.50/160,899 = 160,899/x
  3. Step 3: Cross multiply
    106,981.50x = 160,899 × 160,899
  4. Step 4: Simplify right side
    106,981.50x = 25,888,488,201
  5. Step 5: Solve for x
    x = 25,888,488,201/106,981.50
  6. Step 6: Final answer
    x = 241,990.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.