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Finding the Third Proportional to 100,275 and 150,434

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Solution

The third proportional to 100,275 and 150,434 is: 225,683.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,275 : 150,434 = 150,434 : x
  2. Step 2: Convert to fraction form
    100,275/150,434 = 150,434/x
  3. Step 3: Cross multiply
    100,275x = 150,434 × 150,434
  4. Step 4: Simplify right side
    100,275x = 22,630,388,356
  5. Step 5: Solve for x
    x = 22,630,388,356/100,275
  6. Step 6: Final answer
    x = 225,683.25

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