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Finding the Third Proportional to 48,242 and 103,408

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Solution

The third proportional to 48,242 and 103,408 is: 221,657.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,242 : 103,408 = 103,408 : x
  2. Step 2: Convert to fraction form
    48,242/103,408 = 103,408/x
  3. Step 3: Cross multiply
    48,242x = 103,408 × 103,408
  4. Step 4: Simplify right side
    48,242x = 10,693,214,464
  5. Step 5: Solve for x
    x = 10,693,214,464/48,242
  6. Step 6: Final answer
    x = 221,657.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.