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Finding the Third Proportional to 43,407 and 93,456

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Solution

The third proportional to 43,407 and 93,456 is: 201,212.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,407 : 93,456 = 93,456 : x
  2. Step 2: Convert to fraction form
    43,407/93,456 = 93,456/x
  3. Step 3: Cross multiply
    43,407x = 93,456 × 93,456
  4. Step 4: Simplify right side
    43,407x = 8,734,023,936
  5. Step 5: Solve for x
    x = 8,734,023,936/43,407
  6. Step 6: Final answer
    x = 201,212.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.