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Finding the Third Proportional to 92,794 and 144,052

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Solution

The third proportional to 92,794 and 144,052 is: 223,624.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,794 : 144,052 = 144,052 : x
  2. Step 2: Convert to fraction form
    92,794/144,052 = 144,052/x
  3. Step 3: Cross multiply
    92,794x = 144,052 × 144,052
  4. Step 4: Simplify right side
    92,794x = 20,750,978,704
  5. Step 5: Solve for x
    x = 20,750,978,704/92,794
  6. Step 6: Final answer
    x = 223,624.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.