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Finding the Third Proportional to 45,394 and 99,745

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Solution

The third proportional to 45,394 and 99,745 is: 219,171.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,394 : 99,745 = 99,745 : x
  2. Step 2: Convert to fraction form
    45,394/99,745 = 99,745/x
  3. Step 3: Cross multiply
    45,394x = 99,745 × 99,745
  4. Step 4: Simplify right side
    45,394x = 9,949,065,025
  5. Step 5: Solve for x
    x = 9,949,065,025/45,394
  6. Step 6: Final answer
    x = 219,171.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.