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Finding the Third Proportional to 63,200 and 95,201

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Solution

The third proportional to 63,200 and 95,201 is: 143,405.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,200 : 95,201 = 95,201 : x
  2. Step 2: Convert to fraction form
    63,200/95,201 = 95,201/x
  3. Step 3: Cross multiply
    63,200x = 95,201 × 95,201
  4. Step 4: Simplify right side
    63,200x = 9,063,230,401
  5. Step 5: Solve for x
    x = 9,063,230,401/63,200
  6. Step 6: Final answer
    x = 143,405.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.