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Finding the Third Proportional to 100,882.75 and 141,384.75

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Solution

The third proportional to 100,882.75 and 141,384.75 is: 198,147.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,882.75 : 141,384.75 = 141,384.75 : x
  2. Step 2: Convert to fraction form
    100,882.75/141,384.75 = 141,384.75/x
  3. Step 3: Cross multiply
    100,882.75x = 141,384.75 × 141,384.75
  4. Step 4: Simplify right side
    100,882.75x = 19,989,647,532.56
  5. Step 5: Solve for x
    x = 19,989,647,532.56/100,882.75
  6. Step 6: Final answer
    x = 198,147.33

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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.