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Finding the Third Proportional to 133,524 and 206,173.50

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Solution

The third proportional to 133,524 and 206,173.50 is: 318,351.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,524 : 206,173.50 = 206,173.50 : x
  2. Step 2: Convert to fraction form
    133,524/206,173.50 = 206,173.50/x
  3. Step 3: Cross multiply
    133,524x = 206,173.50 × 206,173.50
  4. Step 4: Simplify right side
    133,524x = 42,507,512,102.25
  5. Step 5: Solve for x
    x = 42,507,512,102.25/133,524
  6. Step 6: Final answer
    x = 318,351.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.