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Finding the Third Proportional to 100,893.50 and 141,399.75

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Solution

The third proportional to 100,893.50 and 141,399.75 is: 198,168.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,893.50 : 141,399.75 = 141,399.75 : x
  2. Step 2: Convert to fraction form
    100,893.50/141,399.75 = 141,399.75/x
  3. Step 3: Cross multiply
    100,893.50x = 141,399.75 × 141,399.75
  4. Step 4: Simplify right side
    100,893.50x = 19,993,889,300.06
  5. Step 5: Solve for x
    x = 19,993,889,300.06/100,893.50
  6. Step 6: Final answer
    x = 198,168.26

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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.