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Finding the Third Proportional to 117,947 and 177,569

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Solution

The third proportional to 117,947 and 177,569 is: 267,329.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,947 : 177,569 = 177,569 : x
  2. Step 2: Convert to fraction form
    117,947/177,569 = 177,569/x
  3. Step 3: Cross multiply
    117,947x = 177,569 × 177,569
  4. Step 4: Simplify right side
    117,947x = 31,530,749,761
  5. Step 5: Solve for x
    x = 31,530,749,761/117,947
  6. Step 6: Final answer
    x = 267,329.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.