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Finding the Third Proportional to 28,194 and 60,642

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Solution

The third proportional to 28,194 and 60,642 is: 130,433.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,194 : 60,642 = 60,642 : x
  2. Step 2: Convert to fraction form
    28,194/60,642 = 60,642/x
  3. Step 3: Cross multiply
    28,194x = 60,642 × 60,642
  4. Step 4: Simplify right side
    28,194x = 3,677,452,164
  5. Step 5: Solve for x
    x = 3,677,452,164/28,194
  6. Step 6: Final answer
    x = 130,433.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.