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Finding the Third Proportional to 45,107.50 and 102,023.25

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Solution

The third proportional to 45,107.50 and 102,023.25 is: 230,754.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,107.50 : 102,023.25 = 102,023.25 : x
  2. Step 2: Convert to fraction form
    45,107.50/102,023.25 = 102,023.25/x
  3. Step 3: Cross multiply
    45,107.50x = 102,023.25 × 102,023.25
  4. Step 4: Simplify right side
    45,107.50x = 10,408,743,540.56
  5. Step 5: Solve for x
    x = 10,408,743,540.56/45,107.50
  6. Step 6: Final answer
    x = 230,754.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.