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Finding the Third Proportional to 45,945 and 98,929

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Solution

The third proportional to 45,945 and 98,929 is: 213,014.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,945 : 98,929 = 98,929 : x
  2. Step 2: Convert to fraction form
    45,945/98,929 = 98,929/x
  3. Step 3: Cross multiply
    45,945x = 98,929 × 98,929
  4. Step 4: Simplify right side
    45,945x = 9,786,947,041
  5. Step 5: Solve for x
    x = 9,786,947,041/45,945
  6. Step 6: Final answer
    x = 213,014.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.