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Finding the Third Proportional to 101,582.25 and 150,911.25

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Solution

The third proportional to 101,582.25 and 150,911.25 is: 224,194.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,582.25 : 150,911.25 = 150,911.25 : x
  2. Step 2: Convert to fraction form
    101,582.25/150,911.25 = 150,911.25/x
  3. Step 3: Cross multiply
    101,582.25x = 150,911.25 × 150,911.25
  4. Step 4: Simplify right side
    101,582.25x = 22,774,205,376.56
  5. Step 5: Solve for x
    x = 22,774,205,376.56/101,582.25
  6. Step 6: Final answer
    x = 224,194.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.