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Finding the Third Proportional to 96,064 and 208,739

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Solution

The third proportional to 96,064 and 208,739 is: 453,572.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,064 : 208,739 = 208,739 : x
  2. Step 2: Convert to fraction form
    96,064/208,739 = 208,739/x
  3. Step 3: Cross multiply
    96,064x = 208,739 × 208,739
  4. Step 4: Simplify right side
    96,064x = 43,571,970,121
  5. Step 5: Solve for x
    x = 43,571,970,121/96,064
  6. Step 6: Final answer
    x = 453,572.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.