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Finding the Third Proportional to 46,992 and 102,408

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Solution

The third proportional to 46,992 and 102,408 is: 223,174.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,992 : 102,408 = 102,408 : x
  2. Step 2: Convert to fraction form
    46,992/102,408 = 102,408/x
  3. Step 3: Cross multiply
    46,992x = 102,408 × 102,408
  4. Step 4: Simplify right side
    46,992x = 10,487,398,464
  5. Step 5: Solve for x
    x = 10,487,398,464/46,992
  6. Step 6: Final answer
    x = 223,174.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.