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Finding the Third Proportional to 95,767 and 208,119

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Solution

The third proportional to 95,767 and 208,119 is: 452,280.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,767 : 208,119 = 208,119 : x
  2. Step 2: Convert to fraction form
    95,767/208,119 = 208,119/x
  3. Step 3: Cross multiply
    95,767x = 208,119 × 208,119
  4. Step 4: Simplify right side
    95,767x = 43,313,518,161
  5. Step 5: Solve for x
    x = 43,313,518,161/95,767
  6. Step 6: Final answer
    x = 452,280.20

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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.