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Finding the Third Proportional to 101,962 and 211,092

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Solution

The third proportional to 101,962 and 211,092 is: 437,023.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,962 : 211,092 = 211,092 : x
  2. Step 2: Convert to fraction form
    101,962/211,092 = 211,092/x
  3. Step 3: Cross multiply
    101,962x = 211,092 × 211,092
  4. Step 4: Simplify right side
    101,962x = 44,559,832,464
  5. Step 5: Solve for x
    x = 44,559,832,464/101,962
  6. Step 6: Final answer
    x = 437,023.92

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.