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Finding the Third Proportional to 97,559 and 212,802

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Solution

The third proportional to 97,559 and 212,802 is: 464,177.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,559 : 212,802 = 212,802 : x
  2. Step 2: Convert to fraction form
    97,559/212,802 = 212,802/x
  3. Step 3: Cross multiply
    97,559x = 212,802 × 212,802
  4. Step 4: Simplify right side
    97,559x = 45,284,691,204
  5. Step 5: Solve for x
    x = 45,284,691,204/97,559
  6. Step 6: Final answer
    x = 464,177.48

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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.