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Finding the Third Proportional to 55,841 and 121,531

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Solution

The third proportional to 55,841 and 121,531 is: 264,497.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,841 : 121,531 = 121,531 : x
  2. Step 2: Convert to fraction form
    55,841/121,531 = 121,531/x
  3. Step 3: Cross multiply
    55,841x = 121,531 × 121,531
  4. Step 4: Simplify right side
    55,841x = 14,769,783,961
  5. Step 5: Solve for x
    x = 14,769,783,961/55,841
  6. Step 6: Final answer
    x = 264,497.13

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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.