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Finding the Third Proportional to 43,914 and 94,920

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Solution

The third proportional to 43,914 and 94,920 is: 205,169.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,914 : 94,920 = 94,920 : x
  2. Step 2: Convert to fraction form
    43,914/94,920 = 94,920/x
  3. Step 3: Cross multiply
    43,914x = 94,920 × 94,920
  4. Step 4: Simplify right side
    43,914x = 9,009,806,400
  5. Step 5: Solve for x
    x = 9,009,806,400/43,914
  6. Step 6: Final answer
    x = 205,169.34

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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.