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Finding the Third Proportional to 81,696.56 and 175,907.44

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Solution

The third proportional to 81,696.56 and 175,907.44 is: 378,760.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,696.56 : 175,907.44 = 175,907.44 : x
  2. Step 2: Convert to fraction form
    81,696.56/175,907.44 = 175,907.44/x
  3. Step 3: Cross multiply
    81,696.56x = 175,907.44 × 175,907.44
  4. Step 4: Simplify right side
    81,696.56x = 30,943,426,567.82
  5. Step 5: Solve for x
    x = 30,943,426,567.82/81,696.56
  6. Step 6: Final answer
    x = 378,760.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.