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Finding the Third Proportional to 115,738.88 and 175,059.56

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Solution

The third proportional to 115,738.88 and 175,059.56 is: 264,784.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,738.88 : 175,059.56 = 175,059.56 : x
  2. Step 2: Convert to fraction form
    115,738.88/175,059.56 = 175,059.56/x
  3. Step 3: Cross multiply
    115,738.88x = 175,059.56 × 175,059.56
  4. Step 4: Simplify right side
    115,738.88x = 30,645,850,422.69
  5. Step 5: Solve for x
    x = 30,645,850,422.69/115,738.88
  6. Step 6: Final answer
    x = 264,784.42

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