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Finding the Third Proportional to 45,468 and 96,766

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Solution

The third proportional to 45,468 and 96,766 is: 205,939.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,468 : 96,766 = 96,766 : x
  2. Step 2: Convert to fraction form
    45,468/96,766 = 96,766/x
  3. Step 3: Cross multiply
    45,468x = 96,766 × 96,766
  4. Step 4: Simplify right side
    45,468x = 9,363,658,756
  5. Step 5: Solve for x
    x = 9,363,658,756/45,468
  6. Step 6: Final answer
    x = 205,939.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.