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Finding the Third Proportional to 100,308 and 149,976

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Solution

The third proportional to 100,308 and 149,976 is: 224,237.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,308 : 149,976 = 149,976 : x
  2. Step 2: Convert to fraction form
    100,308/149,976 = 149,976/x
  3. Step 3: Cross multiply
    100,308x = 149,976 × 149,976
  4. Step 4: Simplify right side
    100,308x = 22,492,800,576
  5. Step 5: Solve for x
    x = 22,492,800,576/100,308
  6. Step 6: Final answer
    x = 224,237.35

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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.