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Finding the Third Proportional to 49,642 and 107,058

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Solution

The third proportional to 49,642 and 107,058 is: 230,881.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,642 : 107,058 = 107,058 : x
  2. Step 2: Convert to fraction form
    49,642/107,058 = 107,058/x
  3. Step 3: Cross multiply
    49,642x = 107,058 × 107,058
  4. Step 4: Simplify right side
    49,642x = 11,461,415,364
  5. Step 5: Solve for x
    x = 11,461,415,364/49,642
  6. Step 6: Final answer
    x = 230,881.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.