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Finding the Third Proportional to 61,832 and 134,704

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Solution

The third proportional to 61,832 and 134,704 is: 293,459.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,832 : 134,704 = 134,704 : x
  2. Step 2: Convert to fraction form
    61,832/134,704 = 134,704/x
  3. Step 3: Cross multiply
    61,832x = 134,704 × 134,704
  4. Step 4: Simplify right side
    61,832x = 18,145,167,616
  5. Step 5: Solve for x
    x = 18,145,167,616/61,832
  6. Step 6: Final answer
    x = 293,459.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.