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Finding the Third Proportional to 51,151 and 109,408

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Solution

The third proportional to 51,151 and 109,408 is: 234,015.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,151 : 109,408 = 109,408 : x
  2. Step 2: Convert to fraction form
    51,151/109,408 = 109,408/x
  3. Step 3: Cross multiply
    51,151x = 109,408 × 109,408
  4. Step 4: Simplify right side
    51,151x = 11,970,110,464
  5. Step 5: Solve for x
    x = 11,970,110,464/51,151
  6. Step 6: Final answer
    x = 234,015.18

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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.