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Finding the Third Proportional to 48,546 and 105,408

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Solution

The third proportional to 48,546 and 105,408 is: 228,872.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,546 : 105,408 = 105,408 : x
  2. Step 2: Convert to fraction form
    48,546/105,408 = 105,408/x
  3. Step 3: Cross multiply
    48,546x = 105,408 × 105,408
  4. Step 4: Simplify right side
    48,546x = 11,110,846,464
  5. Step 5: Solve for x
    x = 11,110,846,464/48,546
  6. Step 6: Final answer
    x = 228,872.54

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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.