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Finding the Third Proportional to 45,257 and 94,645

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Solution

The third proportional to 45,257 and 94,645 is: 197,929.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,257 : 94,645 = 94,645 : x
  2. Step 2: Convert to fraction form
    45,257/94,645 = 94,645/x
  3. Step 3: Cross multiply
    45,257x = 94,645 × 94,645
  4. Step 4: Simplify right side
    45,257x = 8,957,676,025
  5. Step 5: Solve for x
    x = 8,957,676,025/45,257
  6. Step 6: Final answer
    x = 197,929.07

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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.