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Finding the Third Proportional to 100,050.75 and 149,722.88

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Solution

The third proportional to 100,050.75 and 149,722.88 is: 224,055.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,050.75 : 149,722.88 = 149,722.88 : x
  2. Step 2: Convert to fraction form
    100,050.75/149,722.88 = 149,722.88/x
  3. Step 3: Cross multiply
    100,050.75x = 149,722.88 × 149,722.88
  4. Step 4: Simplify right side
    100,050.75x = 22,416,939,298.27
  5. Step 5: Solve for x
    x = 22,416,939,298.27/100,050.75
  6. Step 6: Final answer
    x = 224,055.68

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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.