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Finding the Third Proportional to 73,344 and 111,408

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Solution

The third proportional to 73,344 and 111,408 is: 169,226.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,344 : 111,408 = 111,408 : x
  2. Step 2: Convert to fraction form
    73,344/111,408 = 111,408/x
  3. Step 3: Cross multiply
    73,344x = 111,408 × 111,408
  4. Step 4: Simplify right side
    73,344x = 12,411,742,464
  5. Step 5: Solve for x
    x = 12,411,742,464/73,344
  6. Step 6: Final answer
    x = 169,226.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.