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Finding the Third Proportional to 121,745.75 and 265,633.75

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Solution

The third proportional to 121,745.75 and 265,633.75 is: 579,579.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,745.75 : 265,633.75 = 265,633.75 : x
  2. Step 2: Convert to fraction form
    121,745.75/265,633.75 = 265,633.75/x
  3. Step 3: Cross multiply
    121,745.75x = 265,633.75 × 265,633.75
  4. Step 4: Simplify right side
    121,745.75x = 70,561,289,139.06
  5. Step 5: Solve for x
    x = 70,561,289,139.06/121,745.75
  6. Step 6: Final answer
    x = 579,579.07

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