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Finding the Third Proportional to 54,652 and 82,480

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Solution

The third proportional to 54,652 and 82,480 is: 124,477.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,652 : 82,480 = 82,480 : x
  2. Step 2: Convert to fraction form
    54,652/82,480 = 82,480/x
  3. Step 3: Cross multiply
    54,652x = 82,480 × 82,480
  4. Step 4: Simplify right side
    54,652x = 6,802,950,400
  5. Step 5: Solve for x
    x = 6,802,950,400/54,652
  6. Step 6: Final answer
    x = 124,477.61

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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.