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Finding the Third Proportional to 100,240 and 141,034

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Solution

The third proportional to 100,240 and 141,034 is: 198,429.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,240 : 141,034 = 141,034 : x
  2. Step 2: Convert to fraction form
    100,240/141,034 = 141,034/x
  3. Step 3: Cross multiply
    100,240x = 141,034 × 141,034
  4. Step 4: Simplify right side
    100,240x = 19,890,589,156
  5. Step 5: Solve for x
    x = 19,890,589,156/100,240
  6. Step 6: Final answer
    x = 198,429.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.