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Finding the Third Proportional to 80,408 and 118,281

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Solution

The third proportional to 80,408 and 118,281 is: 173,992.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,408 : 118,281 = 118,281 : x
  2. Step 2: Convert to fraction form
    80,408/118,281 = 118,281/x
  3. Step 3: Cross multiply
    80,408x = 118,281 × 118,281
  4. Step 4: Simplify right side
    80,408x = 13,990,394,961
  5. Step 5: Solve for x
    x = 13,990,394,961/80,408
  6. Step 6: Final answer
    x = 173,992.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.