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Finding the Third Proportional to 54,496.13 and 121,749.75

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Solution

The third proportional to 54,496.13 and 121,749.75 is: 272,001.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,496.13 : 121,749.75 = 121,749.75 : x
  2. Step 2: Convert to fraction form
    54,496.13/121,749.75 = 121,749.75/x
  3. Step 3: Cross multiply
    54,496.13x = 121,749.75 × 121,749.75
  4. Step 4: Simplify right side
    54,496.13x = 14,823,001,625.06
  5. Step 5: Solve for x
    x = 14,823,001,625.06/54,496.13
  6. Step 6: Final answer
    x = 272,001.02

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.