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Finding the Third Proportional to 97,504 and 212,872

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Solution

The third proportional to 97,504 and 212,872 is: 464,744.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,504 : 212,872 = 212,872 : x
  2. Step 2: Convert to fraction form
    97,504/212,872 = 212,872/x
  3. Step 3: Cross multiply
    97,504x = 212,872 × 212,872
  4. Step 4: Simplify right side
    97,504x = 45,314,488,384
  5. Step 5: Solve for x
    x = 45,314,488,384/97,504
  6. Step 6: Final answer
    x = 464,744.92

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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.