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Finding the Third Proportional to 54,512 and 82,580

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Solution

The third proportional to 54,512 and 82,580 is: 125,100.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,512 : 82,580 = 82,580 : x
  2. Step 2: Convert to fraction form
    54,512/82,580 = 82,580/x
  3. Step 3: Cross multiply
    54,512x = 82,580 × 82,580
  4. Step 4: Simplify right side
    54,512x = 6,819,456,400
  5. Step 5: Solve for x
    x = 6,819,456,400/54,512
  6. Step 6: Final answer
    x = 125,100.10

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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.