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Finding the Third Proportional to 121,796.75 and 265,726.75

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Solution

The third proportional to 121,796.75 and 265,726.75 is: 579,742.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,796.75 : 265,726.75 = 265,726.75 : x
  2. Step 2: Convert to fraction form
    121,796.75/265,726.75 = 265,726.75/x
  3. Step 3: Cross multiply
    121,796.75x = 265,726.75 × 265,726.75
  4. Step 4: Simplify right side
    121,796.75x = 70,610,705,665.56
  5. Step 5: Solve for x
    x = 70,610,705,665.56/121,796.75
  6. Step 6: Final answer
    x = 579,742.12

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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.