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Finding the Third Proportional to 63,202.50 and 135,401

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Solution

The third proportional to 63,202.50 and 135,401 is: 290,074.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,202.50 : 135,401 = 135,401 : x
  2. Step 2: Convert to fraction form
    63,202.50/135,401 = 135,401/x
  3. Step 3: Cross multiply
    63,202.50x = 135,401 × 135,401
  4. Step 4: Simplify right side
    63,202.50x = 18,333,430,801
  5. Step 5: Solve for x
    x = 18,333,430,801/63,202.50
  6. Step 6: Final answer
    x = 290,074.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.