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Finding the Third Proportional to 54,800 and 82,200

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Solution

The third proportional to 54,800 and 82,200 is: 123,300

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,800 : 82,200 = 82,200 : x
  2. Step 2: Convert to fraction form
    54,800/82,200 = 82,200/x
  3. Step 3: Cross multiply
    54,800x = 82,200 × 82,200
  4. Step 4: Simplify right side
    54,800x = 6,756,840,000
  5. Step 5: Solve for x
    x = 6,756,840,000/54,800
  6. Step 6: Final answer
    x = 123,300

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.