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Finding the Third Proportional to 54,726 and 82,400

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Solution

The third proportional to 54,726 and 82,400 is: 124,068.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,726 : 82,400 = 82,400 : x
  2. Step 2: Convert to fraction form
    54,726/82,400 = 82,400/x
  3. Step 3: Cross multiply
    54,726x = 82,400 × 82,400
  4. Step 4: Simplify right side
    54,726x = 6,789,760,000
  5. Step 5: Solve for x
    x = 6,789,760,000/54,726
  6. Step 6: Final answer
    x = 124,068.27

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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.