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Finding the Third Proportional to 120,857.75 and 259,201.75

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Solution

The third proportional to 120,857.75 and 259,201.75 is: 555,905.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,857.75 : 259,201.75 = 259,201.75 : x
  2. Step 2: Convert to fraction form
    120,857.75/259,201.75 = 259,201.75/x
  3. Step 3: Cross multiply
    120,857.75x = 259,201.75 × 259,201.75
  4. Step 4: Simplify right side
    120,857.75x = 67,185,547,203.06
  5. Step 5: Solve for x
    x = 67,185,547,203.06/120,857.75
  6. Step 6: Final answer
    x = 555,905.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.