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Finding the Third Proportional to 49,874 and 107,056

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Solution

The third proportional to 49,874 and 107,056 is: 229,798.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,874 : 107,056 = 107,056 : x
  2. Step 2: Convert to fraction form
    49,874/107,056 = 107,056/x
  3. Step 3: Cross multiply
    49,874x = 107,056 × 107,056
  4. Step 4: Simplify right side
    49,874x = 11,460,987,136
  5. Step 5: Solve for x
    x = 11,460,987,136/49,874
  6. Step 6: Final answer
    x = 229,798.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.