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Finding the Third Proportional to 120,091 and 261,323

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Solution

The third proportional to 120,091 and 261,323 is: 568,649.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,091 : 261,323 = 261,323 : x
  2. Step 2: Convert to fraction form
    120,091/261,323 = 261,323/x
  3. Step 3: Cross multiply
    120,091x = 261,323 × 261,323
  4. Step 4: Simplify right side
    120,091x = 68,289,710,329
  5. Step 5: Solve for x
    x = 68,289,710,329/120,091
  6. Step 6: Final answer
    x = 568,649.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.