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Finding the Third Proportional to 97,549 and 212,825

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Solution

The third proportional to 97,549 and 212,825 is: 464,325.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,549 : 212,825 = 212,825 : x
  2. Step 2: Convert to fraction form
    97,549/212,825 = 212,825/x
  3. Step 3: Cross multiply
    97,549x = 212,825 × 212,825
  4. Step 4: Simplify right side
    97,549x = 45,294,480,625
  5. Step 5: Solve for x
    x = 45,294,480,625/97,549
  6. Step 6: Final answer
    x = 464,325.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.