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Finding the Third Proportional to 120,847.50 and 259,182

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Solution

The third proportional to 120,847.50 and 259,182 is: 555,868.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,847.50 : 259,182 = 259,182 : x
  2. Step 2: Convert to fraction form
    120,847.50/259,182 = 259,182/x
  3. Step 3: Cross multiply
    120,847.50x = 259,182 × 259,182
  4. Step 4: Simplify right side
    120,847.50x = 67,175,309,124
  5. Step 5: Solve for x
    x = 67,175,309,124/120,847.50
  6. Step 6: Final answer
    x = 555,868.42

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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.