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Finding the Third Proportional to 60,784.50 and 126,401

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Solution

The third proportional to 60,784.50 and 126,401 is: 262,850.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,784.50 : 126,401 = 126,401 : x
  2. Step 2: Convert to fraction form
    60,784.50/126,401 = 126,401/x
  3. Step 3: Cross multiply
    60,784.50x = 126,401 × 126,401
  4. Step 4: Simplify right side
    60,784.50x = 15,977,212,801
  5. Step 5: Solve for x
    x = 15,977,212,801/60,784.50
  6. Step 6: Final answer
    x = 262,850.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.