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Finding the Third Proportional to 45,259 and 94,649

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Solution

The third proportional to 45,259 and 94,649 is: 197,937.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,259 : 94,649 = 94,649 : x
  2. Step 2: Convert to fraction form
    45,259/94,649 = 94,649/x
  3. Step 3: Cross multiply
    45,259x = 94,649 × 94,649
  4. Step 4: Simplify right side
    45,259x = 8,958,433,201
  5. Step 5: Solve for x
    x = 8,958,433,201/45,259
  6. Step 6: Final answer
    x = 197,937.06

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.