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Finding the Third Proportional to 43,064 and 96,208

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Solution

The third proportional to 43,064 and 96,208 is: 214,935.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,064 : 96,208 = 96,208 : x
  2. Step 2: Convert to fraction form
    43,064/96,208 = 96,208/x
  3. Step 3: Cross multiply
    43,064x = 96,208 × 96,208
  4. Step 4: Simplify right side
    43,064x = 9,255,979,264
  5. Step 5: Solve for x
    x = 9,255,979,264/43,064
  6. Step 6: Final answer
    x = 214,935.43

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.