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Finding the Third Proportional to 107,836 and 154,408

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Solution

The third proportional to 107,836 and 154,408 is: 221,093.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,836 : 154,408 = 154,408 : x
  2. Step 2: Convert to fraction form
    107,836/154,408 = 154,408/x
  3. Step 3: Cross multiply
    107,836x = 154,408 × 154,408
  4. Step 4: Simplify right side
    107,836x = 23,841,830,464
  5. Step 5: Solve for x
    x = 23,841,830,464/107,836
  6. Step 6: Final answer
    x = 221,093.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.