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Finding the Third Proportional to 103,997.25 and 212,922

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Solution

The third proportional to 103,997.25 and 212,922 is: 435,932.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,997.25 : 212,922 = 212,922 : x
  2. Step 2: Convert to fraction form
    103,997.25/212,922 = 212,922/x
  3. Step 3: Cross multiply
    103,997.25x = 212,922 × 212,922
  4. Step 4: Simplify right side
    103,997.25x = 45,335,778,084
  5. Step 5: Solve for x
    x = 45,335,778,084/103,997.25
  6. Step 6: Final answer
    x = 435,932.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.