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Finding the Third Proportional to 46,729 and 101,234

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Solution

The third proportional to 46,729 and 101,234 is: 219,313.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,729 : 101,234 = 101,234 : x
  2. Step 2: Convert to fraction form
    46,729/101,234 = 101,234/x
  3. Step 3: Cross multiply
    46,729x = 101,234 × 101,234
  4. Step 4: Simplify right side
    46,729x = 10,248,322,756
  5. Step 5: Solve for x
    x = 10,248,322,756/46,729
  6. Step 6: Final answer
    x = 219,313.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.