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Finding the Third Proportional to 95,754 and 208,104

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Solution

The third proportional to 95,754 and 208,104 is: 452,276.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,754 : 208,104 = 208,104 : x
  2. Step 2: Convert to fraction form
    95,754/208,104 = 208,104/x
  3. Step 3: Cross multiply
    95,754x = 208,104 × 208,104
  4. Step 4: Simplify right side
    95,754x = 43,307,274,816
  5. Step 5: Solve for x
    x = 43,307,274,816/95,754
  6. Step 6: Final answer
    x = 452,276.40

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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.