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Finding the Third Proportional to 64,991.25 and 141,093

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Solution

The third proportional to 64,991.25 and 141,093 is: 306,306.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,991.25 : 141,093 = 141,093 : x
  2. Step 2: Convert to fraction form
    64,991.25/141,093 = 141,093/x
  3. Step 3: Cross multiply
    64,991.25x = 141,093 × 141,093
  4. Step 4: Simplify right side
    64,991.25x = 19,907,234,649
  5. Step 5: Solve for x
    x = 19,907,234,649/64,991.25
  6. Step 6: Final answer
    x = 306,306.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.