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Finding the Third Proportional to 61,844 and 134,728

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Solution

The third proportional to 61,844 and 134,728 is: 293,506.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,844 : 134,728 = 134,728 : x
  2. Step 2: Convert to fraction form
    61,844/134,728 = 134,728/x
  3. Step 3: Cross multiply
    61,844x = 134,728 × 134,728
  4. Step 4: Simplify right side
    61,844x = 18,151,633,984
  5. Step 5: Solve for x
    x = 18,151,633,984/61,844
  6. Step 6: Final answer
    x = 293,506.79

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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.