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Finding the Third Proportional to 47,372 and 109,679

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Solution

The third proportional to 47,372 and 109,679 is: 253,936.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,372 : 109,679 = 109,679 : x
  2. Step 2: Convert to fraction form
    47,372/109,679 = 109,679/x
  3. Step 3: Cross multiply
    47,372x = 109,679 × 109,679
  4. Step 4: Simplify right side
    47,372x = 12,029,483,041
  5. Step 5: Solve for x
    x = 12,029,483,041/47,372
  6. Step 6: Final answer
    x = 253,936.57

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.