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Finding the Third Proportional to 49,894 and 107,701

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Solution

The third proportional to 49,894 and 107,701 is: 232,482.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,894 : 107,701 = 107,701 : x
  2. Step 2: Convert to fraction form
    49,894/107,701 = 107,701/x
  3. Step 3: Cross multiply
    49,894x = 107,701 × 107,701
  4. Step 4: Simplify right side
    49,894x = 11,599,505,401
  5. Step 5: Solve for x
    x = 11,599,505,401/49,894
  6. Step 6: Final answer
    x = 232,482.97

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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.