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Finding the Third Proportional to 49,729 and 107,403

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Solution

The third proportional to 49,729 and 107,403 is: 231,965.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,729 : 107,403 = 107,403 : x
  2. Step 2: Convert to fraction form
    49,729/107,403 = 107,403/x
  3. Step 3: Cross multiply
    49,729x = 107,403 × 107,403
  4. Step 4: Simplify right side
    49,729x = 11,535,404,409
  5. Step 5: Solve for x
    x = 11,535,404,409/49,729
  6. Step 6: Final answer
    x = 231,965.34

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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.