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Finding the Third Proportional to 43,421 and 94,645

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Solution

The third proportional to 43,421 and 94,645 is: 206,298.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,421 : 94,645 = 94,645 : x
  2. Step 2: Convert to fraction form
    43,421/94,645 = 94,645/x
  3. Step 3: Cross multiply
    43,421x = 94,645 × 94,645
  4. Step 4: Simplify right side
    43,421x = 8,957,676,025
  5. Step 5: Solve for x
    x = 8,957,676,025/43,421
  6. Step 6: Final answer
    x = 206,298.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.