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Finding the Third Proportional to 100,410 and 150,627

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Solution

The third proportional to 100,410 and 150,627 is: 225,958.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,410 : 150,627 = 150,627 : x
  2. Step 2: Convert to fraction form
    100,410/150,627 = 150,627/x
  3. Step 3: Cross multiply
    100,410x = 150,627 × 150,627
  4. Step 4: Simplify right side
    100,410x = 22,688,493,129
  5. Step 5: Solve for x
    x = 22,688,493,129/100,410
  6. Step 6: Final answer
    x = 225,958.50

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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.