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Finding the Third Proportional to 43,920 and 94,752

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Solution

The third proportional to 43,920 and 94,752 is: 204,415.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,920 : 94,752 = 94,752 : x
  2. Step 2: Convert to fraction form
    43,920/94,752 = 94,752/x
  3. Step 3: Cross multiply
    43,920x = 94,752 × 94,752
  4. Step 4: Simplify right side
    43,920x = 8,977,941,504
  5. Step 5: Solve for x
    x = 8,977,941,504/43,920
  6. Step 6: Final answer
    x = 204,415.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.