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Finding the Third Proportional to 54,752 and 82,004

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Solution

The third proportional to 54,752 and 82,004 is: 122,820.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,752 : 82,004 = 82,004 : x
  2. Step 2: Convert to fraction form
    54,752/82,004 = 82,004/x
  3. Step 3: Cross multiply
    54,752x = 82,004 × 82,004
  4. Step 4: Simplify right side
    54,752x = 6,724,656,016
  5. Step 5: Solve for x
    x = 6,724,656,016/54,752
  6. Step 6: Final answer
    x = 122,820.28

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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.