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Finding the Third Proportional to 100,856 and 212,032

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Solution

The third proportional to 100,856 and 212,032 is: 445,759.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,856 : 212,032 = 212,032 : x
  2. Step 2: Convert to fraction form
    100,856/212,032 = 212,032/x
  3. Step 3: Cross multiply
    100,856x = 212,032 × 212,032
  4. Step 4: Simplify right side
    100,856x = 44,957,569,024
  5. Step 5: Solve for x
    x = 44,957,569,024/100,856
  6. Step 6: Final answer
    x = 445,759.98

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.