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Finding the Third Proportional to 48,222 and 76,734

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Solution

The third proportional to 48,222 and 76,734 is: 122,104.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,222 : 76,734 = 76,734 : x
  2. Step 2: Convert to fraction form
    48,222/76,734 = 76,734/x
  3. Step 3: Cross multiply
    48,222x = 76,734 × 76,734
  4. Step 4: Simplify right side
    48,222x = 5,888,106,756
  5. Step 5: Solve for x
    x = 5,888,106,756/48,222
  6. Step 6: Final answer
    x = 122,104.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.