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Finding the Third Proportional to 54,720 and 82,800

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Solution

The third proportional to 54,720 and 82,800 is: 125,289.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,720 : 82,800 = 82,800 : x
  2. Step 2: Convert to fraction form
    54,720/82,800 = 82,800/x
  3. Step 3: Cross multiply
    54,720x = 82,800 × 82,800
  4. Step 4: Simplify right side
    54,720x = 6,855,840,000
  5. Step 5: Solve for x
    x = 6,855,840,000/54,720
  6. Step 6: Final answer
    x = 125,289.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.