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Finding the Third Proportional to 100,695 and 141,150

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Solution

The third proportional to 100,695 and 141,150 is: 197,858.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,695 : 141,150 = 141,150 : x
  2. Step 2: Convert to fraction form
    100,695/141,150 = 141,150/x
  3. Step 3: Cross multiply
    100,695x = 141,150 × 141,150
  4. Step 4: Simplify right side
    100,695x = 19,923,322,500
  5. Step 5: Solve for x
    x = 19,923,322,500/100,695
  6. Step 6: Final answer
    x = 197,858.11

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.