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Finding the Third Proportional to 61,671 and 134,755

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Solution

The third proportional to 61,671 and 134,755 is: 294,448.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,671 : 134,755 = 134,755 : x
  2. Step 2: Convert to fraction form
    61,671/134,755 = 134,755/x
  3. Step 3: Cross multiply
    61,671x = 134,755 × 134,755
  4. Step 4: Simplify right side
    61,671x = 18,158,910,025
  5. Step 5: Solve for x
    x = 18,158,910,025/61,671
  6. Step 6: Final answer
    x = 294,448.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.