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Finding the Third Proportional to 100,182 and 150,021

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Solution

The third proportional to 100,182 and 150,021 is: 224,654.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,182 : 150,021 = 150,021 : x
  2. Step 2: Convert to fraction form
    100,182/150,021 = 150,021/x
  3. Step 3: Cross multiply
    100,182x = 150,021 × 150,021
  4. Step 4: Simplify right side
    100,182x = 22,506,300,441
  5. Step 5: Solve for x
    x = 22,506,300,441/100,182
  6. Step 6: Final answer
    x = 224,654.13

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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.