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Finding the Third Proportional to 100,584 and 150,900

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Solution

The third proportional to 100,584 and 150,900 is: 226,386.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,584 : 150,900 = 150,900 : x
  2. Step 2: Convert to fraction form
    100,584/150,900 = 150,900/x
  3. Step 3: Cross multiply
    100,584x = 150,900 × 150,900
  4. Step 4: Simplify right side
    100,584x = 22,770,810,000
  5. Step 5: Solve for x
    x = 22,770,810,000/100,584
  6. Step 6: Final answer
    x = 226,386.01

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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.