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Finding the Third Proportional to 42,378 and 93,268

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Solution

The third proportional to 42,378 and 93,268 is: 205,269.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,378 : 93,268 = 93,268 : x
  2. Step 2: Convert to fraction form
    42,378/93,268 = 93,268/x
  3. Step 3: Cross multiply
    42,378x = 93,268 × 93,268
  4. Step 4: Simplify right side
    42,378x = 8,698,919,824
  5. Step 5: Solve for x
    x = 8,698,919,824/42,378
  6. Step 6: Final answer
    x = 205,269.71

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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.