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Finding the Third Proportional to 118,764 and 177,570

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Solution

The third proportional to 118,764 and 177,570 is: 265,493.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,764 : 177,570 = 177,570 : x
  2. Step 2: Convert to fraction form
    118,764/177,570 = 177,570/x
  3. Step 3: Cross multiply
    118,764x = 177,570 × 177,570
  4. Step 4: Simplify right side
    118,764x = 31,531,104,900
  5. Step 5: Solve for x
    x = 31,531,104,900/118,764
  6. Step 6: Final answer
    x = 265,493.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.