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Finding the Third Proportional to 75,766 and 110,894

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Solution

The third proportional to 75,766 and 110,894 is: 162,308.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,766 : 110,894 = 110,894 : x
  2. Step 2: Convert to fraction form
    75,766/110,894 = 110,894/x
  3. Step 3: Cross multiply
    75,766x = 110,894 × 110,894
  4. Step 4: Simplify right side
    75,766x = 12,297,479,236
  5. Step 5: Solve for x
    x = 12,297,479,236/75,766
  6. Step 6: Final answer
    x = 162,308.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.