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Finding the Third Proportional to 118,539 and 177,105

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Solution

The third proportional to 118,539 and 177,105 is: 264,606.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,539 : 177,105 = 177,105 : x
  2. Step 2: Convert to fraction form
    118,539/177,105 = 177,105/x
  3. Step 3: Cross multiply
    118,539x = 177,105 × 177,105
  4. Step 4: Simplify right side
    118,539x = 31,366,181,025
  5. Step 5: Solve for x
    x = 31,366,181,025/118,539
  6. Step 6: Final answer
    x = 264,606.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.