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Finding the Third Proportional to 95,710 and 208,187

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Solution

The third proportional to 95,710 and 208,187 is: 452,845.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,710 : 208,187 = 208,187 : x
  2. Step 2: Convert to fraction form
    95,710/208,187 = 208,187/x
  3. Step 3: Cross multiply
    95,710x = 208,187 × 208,187
  4. Step 4: Simplify right side
    95,710x = 43,341,826,969
  5. Step 5: Solve for x
    x = 43,341,826,969/95,710
  6. Step 6: Final answer
    x = 452,845.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.