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Finding the Third Proportional to 49,641 and 107,057

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Solution

The third proportional to 49,641 and 107,057 is: 230,881.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,641 : 107,057 = 107,057 : x
  2. Step 2: Convert to fraction form
    49,641/107,057 = 107,057/x
  3. Step 3: Cross multiply
    49,641x = 107,057 × 107,057
  4. Step 4: Simplify right side
    49,641x = 11,461,201,249
  5. Step 5: Solve for x
    x = 11,461,201,249/49,641
  6. Step 6: Final answer
    x = 230,881.76

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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.