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Finding the Third Proportional to 95,838 and 208,254

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Solution

The third proportional to 95,838 and 208,254 is: 452,531.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,838 : 208,254 = 208,254 : x
  2. Step 2: Convert to fraction form
    95,838/208,254 = 208,254/x
  3. Step 3: Cross multiply
    95,838x = 208,254 × 208,254
  4. Step 4: Simplify right side
    95,838x = 43,369,728,516
  5. Step 5: Solve for x
    x = 43,369,728,516/95,838
  6. Step 6: Final answer
    x = 452,531.65

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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.