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Finding the Third Proportional to 55,846.13 and 121,533.75

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Solution

The third proportional to 55,846.13 and 121,533.75 is: 264,484.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,846.13 : 121,533.75 = 121,533.75 : x
  2. Step 2: Convert to fraction form
    55,846.13/121,533.75 = 121,533.75/x
  3. Step 3: Cross multiply
    55,846.13x = 121,533.75 × 121,533.75
  4. Step 4: Simplify right side
    55,846.13x = 14,770,452,389.06
  5. Step 5: Solve for x
    x = 14,770,452,389.06/55,846.13
  6. Step 6: Final answer
    x = 264,484.82

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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.