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Finding the Third Proportional to 42,954 and 94,378

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Solution

The third proportional to 42,954 and 94,378 is: 207,366.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,954 : 94,378 = 94,378 : x
  2. Step 2: Convert to fraction form
    42,954/94,378 = 94,378/x
  3. Step 3: Cross multiply
    42,954x = 94,378 × 94,378
  4. Step 4: Simplify right side
    42,954x = 8,907,206,884
  5. Step 5: Solve for x
    x = 8,907,206,884/42,954
  6. Step 6: Final answer
    x = 207,366.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.