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Finding the Third Proportional to 120,083.77 and 259,891.03

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Solution

The third proportional to 120,083.77 and 259,891.03 is: 562,468.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,083.77 : 259,891.03 = 259,891.03 : x
  2. Step 2: Convert to fraction form
    120,083.77/259,891.03 = 259,891.03/x
  3. Step 3: Cross multiply
    120,083.77x = 259,891.03 × 259,891.03
  4. Step 4: Simplify right side
    120,083.77x = 67,543,348,124.19
  5. Step 5: Solve for x
    x = 67,543,348,124.19/120,083.77
  6. Step 6: Final answer
    x = 562,468.60

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.