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Finding the Third Proportional to 28,194 and 61,969

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Solution

The third proportional to 28,194 and 61,969 is: 136,204.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,194 : 61,969 = 61,969 : x
  2. Step 2: Convert to fraction form
    28,194/61,969 = 61,969/x
  3. Step 3: Cross multiply
    28,194x = 61,969 × 61,969
  4. Step 4: Simplify right side
    28,194x = 3,840,156,961
  5. Step 5: Solve for x
    x = 3,840,156,961/28,194
  6. Step 6: Final answer
    x = 136,204.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.