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Finding the Third Proportional to 100,700 and 141,163

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Solution

The third proportional to 100,700 and 141,163 is: 197,884.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,700 : 141,163 = 141,163 : x
  2. Step 2: Convert to fraction form
    100,700/141,163 = 141,163/x
  3. Step 3: Cross multiply
    100,700x = 141,163 × 141,163
  4. Step 4: Simplify right side
    100,700x = 19,926,992,569
  5. Step 5: Solve for x
    x = 19,926,992,569/100,700
  6. Step 6: Final answer
    x = 197,884.73

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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.