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Finding the Third Proportional to 61,682 and 134,501

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Solution

The third proportional to 61,682 and 134,501 is: 293,286.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,682 : 134,501 = 134,501 : x
  2. Step 2: Convert to fraction form
    61,682/134,501 = 134,501/x
  3. Step 3: Cross multiply
    61,682x = 134,501 × 134,501
  4. Step 4: Simplify right side
    61,682x = 18,090,519,001
  5. Step 5: Solve for x
    x = 18,090,519,001/61,682
  6. Step 6: Final answer
    x = 293,286.84

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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.