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Finding the Third Proportional to 89,494 and 125,425

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Solution

The third proportional to 89,494 and 125,425 is: 175,781.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,494 : 125,425 = 125,425 : x
  2. Step 2: Convert to fraction form
    89,494/125,425 = 125,425/x
  3. Step 3: Cross multiply
    89,494x = 125,425 × 125,425
  4. Step 4: Simplify right side
    89,494x = 15,731,430,625
  5. Step 5: Solve for x
    x = 15,731,430,625/89,494
  6. Step 6: Final answer
    x = 175,781.96

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.