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Finding the Third Proportional to 50,418 and 68,220

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Solution

The third proportional to 50,418 and 68,220 is: 92,307.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,418 : 68,220 = 68,220 : x
  2. Step 2: Convert to fraction form
    50,418/68,220 = 68,220/x
  3. Step 3: Cross multiply
    50,418x = 68,220 × 68,220
  4. Step 4: Simplify right side
    50,418x = 4,653,968,400
  5. Step 5: Solve for x
    x = 4,653,968,400/50,418
  6. Step 6: Final answer
    x = 92,307.68

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.