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Finding the Third Proportional to 100,200 and 149,984

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Solution

The third proportional to 100,200 and 149,984 is: 224,503.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,200 : 149,984 = 149,984 : x
  2. Step 2: Convert to fraction form
    100,200/149,984 = 149,984/x
  3. Step 3: Cross multiply
    100,200x = 149,984 × 149,984
  4. Step 4: Simplify right side
    100,200x = 22,495,200,256
  5. Step 5: Solve for x
    x = 22,495,200,256/100,200
  6. Step 6: Final answer
    x = 224,503.00

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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.