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Finding the Third Proportional to 92,450 and 121,408

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Solution

The third proportional to 92,450 and 121,408 is: 159,436.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,450 : 121,408 = 121,408 : x
  2. Step 2: Convert to fraction form
    92,450/121,408 = 121,408/x
  3. Step 3: Cross multiply
    92,450x = 121,408 × 121,408
  4. Step 4: Simplify right side
    92,450x = 14,739,902,464
  5. Step 5: Solve for x
    x = 14,739,902,464/92,450
  6. Step 6: Final answer
    x = 159,436.48

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.