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Finding the Third Proportional to 100,274.06 and 150,432.75

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Solution

The third proportional to 100,274.06 and 150,432.75 is: 225,681.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,274.06 : 150,432.75 = 150,432.75 : x
  2. Step 2: Convert to fraction form
    100,274.06/150,432.75 = 150,432.75/x
  3. Step 3: Cross multiply
    100,274.06x = 150,432.75 × 150,432.75
  4. Step 4: Simplify right side
    100,274.06x = 22,630,012,272.56
  5. Step 5: Solve for x
    x = 22,630,012,272.56/100,274.06
  6. Step 6: Final answer
    x = 225,681.61

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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.