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Finding the Third Proportional to 92,626 and 143,515

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Solution

The third proportional to 92,626 and 143,515 is: 222,362.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,626 : 143,515 = 143,515 : x
  2. Step 2: Convert to fraction form
    92,626/143,515 = 143,515/x
  3. Step 3: Cross multiply
    92,626x = 143,515 × 143,515
  4. Step 4: Simplify right side
    92,626x = 20,596,555,225
  5. Step 5: Solve for x
    x = 20,596,555,225/92,626
  6. Step 6: Final answer
    x = 222,362.57

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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.