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Finding the Third Proportional to 41,851 and 93,014

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Solution

The third proportional to 41,851 and 93,014 is: 206,723.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,851 : 93,014 = 93,014 : x
  2. Step 2: Convert to fraction form
    41,851/93,014 = 93,014/x
  3. Step 3: Cross multiply
    41,851x = 93,014 × 93,014
  4. Step 4: Simplify right side
    41,851x = 8,651,604,196
  5. Step 5: Solve for x
    x = 8,651,604,196/41,851
  6. Step 6: Final answer
    x = 206,723.95

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.