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Finding the Third Proportional to 45,064 and 95,951

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Solution

The third proportional to 45,064 and 95,951 is: 204,300.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,064 : 95,951 = 95,951 : x
  2. Step 2: Convert to fraction form
    45,064/95,951 = 95,951/x
  3. Step 3: Cross multiply
    45,064x = 95,951 × 95,951
  4. Step 4: Simplify right side
    45,064x = 9,206,594,401
  5. Step 5: Solve for x
    x = 9,206,594,401/45,064
  6. Step 6: Final answer
    x = 204,300.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.