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Finding the Third Proportional to 113,583.75 and 175,113.75

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Solution

The third proportional to 113,583.75 and 175,113.75 is: 269,975.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,583.75 : 175,113.75 = 175,113.75 : x
  2. Step 2: Convert to fraction form
    113,583.75/175,113.75 = 175,113.75/x
  3. Step 3: Cross multiply
    113,583.75x = 175,113.75 × 175,113.75
  4. Step 4: Simplify right side
    113,583.75x = 30,664,825,439.06
  5. Step 5: Solve for x
    x = 30,664,825,439.06/113,583.75
  6. Step 6: Final answer
    x = 269,975.46

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.