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Finding the Third Proportional to 100,845 and 141,350.06

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Solution

The third proportional to 100,845 and 141,350.06 is: 198,124.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,845 : 141,350.06 = 141,350.06 : x
  2. Step 2: Convert to fraction form
    100,845/141,350.06 = 141,350.06/x
  3. Step 3: Cross multiply
    100,845x = 141,350.06 × 141,350.06
  4. Step 4: Simplify right side
    100,845x = 19,979,840,168.75
  5. Step 5: Solve for x
    x = 19,979,840,168.75/100,845
  6. Step 6: Final answer
    x = 198,124.25

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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.