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Finding the Third Proportional to 101,323.50 and 152,039.25

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Solution

The third proportional to 101,323.50 and 152,039.25 is: 228,139.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,323.50 : 152,039.25 = 152,039.25 : x
  2. Step 2: Convert to fraction form
    101,323.50/152,039.25 = 152,039.25/x
  3. Step 3: Cross multiply
    101,323.50x = 152,039.25 × 152,039.25
  4. Step 4: Simplify right side
    101,323.50x = 23,115,933,540.56
  5. Step 5: Solve for x
    x = 23,115,933,540.56/101,323.50
  6. Step 6: Final answer
    x = 228,139.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.