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Finding the Third Proportional to 96,067 and 208,746

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Solution

The third proportional to 96,067 and 208,746 is: 453,588.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,067 : 208,746 = 208,746 : x
  2. Step 2: Convert to fraction form
    96,067/208,746 = 208,746/x
  3. Step 3: Cross multiply
    96,067x = 208,746 × 208,746
  4. Step 4: Simplify right side
    96,067x = 43,574,892,516
  5. Step 5: Solve for x
    x = 43,574,892,516/96,067
  6. Step 6: Final answer
    x = 453,588.56

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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.