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Finding the Third Proportional to 120,714.50 and 259,837

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Solution

The third proportional to 120,714.50 and 259,837 is: 559,297.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,714.50 : 259,837 = 259,837 : x
  2. Step 2: Convert to fraction form
    120,714.50/259,837 = 259,837/x
  3. Step 3: Cross multiply
    120,714.50x = 259,837 × 259,837
  4. Step 4: Simplify right side
    120,714.50x = 67,515,266,569
  5. Step 5: Solve for x
    x = 67,515,266,569/120,714.50
  6. Step 6: Final answer
    x = 559,297.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.