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Finding the Third Proportional to 117,696.75 and 165,815.25

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Solution

The third proportional to 117,696.75 and 165,815.25 is: 233,606.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,696.75 : 165,815.25 = 165,815.25 : x
  2. Step 2: Convert to fraction form
    117,696.75/165,815.25 = 165,815.25/x
  3. Step 3: Cross multiply
    117,696.75x = 165,815.25 × 165,815.25
  4. Step 4: Simplify right side
    117,696.75x = 27,494,697,132.56
  5. Step 5: Solve for x
    x = 27,494,697,132.56/117,696.75
  6. Step 6: Final answer
    x = 233,606.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.