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Finding the Third Proportional to 55,671 and 116,813

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Solution

The third proportional to 55,671 and 116,813 is: 245,105.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,671 : 116,813 = 116,813 : x
  2. Step 2: Convert to fraction form
    55,671/116,813 = 116,813/x
  3. Step 3: Cross multiply
    55,671x = 116,813 × 116,813
  4. Step 4: Simplify right side
    55,671x = 13,645,276,969
  5. Step 5: Solve for x
    x = 13,645,276,969/55,671
  6. Step 6: Final answer
    x = 245,105.66

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.