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Finding the Third Proportional to 94,467 and 143,956

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Solution

The third proportional to 94,467 and 143,956 is: 219,371.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,467 : 143,956 = 143,956 : x
  2. Step 2: Convert to fraction form
    94,467/143,956 = 143,956/x
  3. Step 3: Cross multiply
    94,467x = 143,956 × 143,956
  4. Step 4: Simplify right side
    94,467x = 20,723,329,936
  5. Step 5: Solve for x
    x = 20,723,329,936/94,467
  6. Step 6: Final answer
    x = 219,371.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.