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Finding the Third Proportional to 73,912.88 and 113,765.06

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Solution

The third proportional to 73,912.88 and 113,765.06 is: 175,104.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,912.88 : 113,765.06 = 113,765.06 : x
  2. Step 2: Convert to fraction form
    73,912.88/113,765.06 = 113,765.06/x
  3. Step 3: Cross multiply
    73,912.88x = 113,765.06 × 113,765.06
  4. Step 4: Simplify right side
    73,912.88x = 12,942,489,445.63
  5. Step 5: Solve for x
    x = 12,942,489,445.63/73,912.88
  6. Step 6: Final answer
    x = 175,104.67

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Why These Related Problems?

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