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Finding the Third Proportional to 45,698 and 105,893

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Solution

The third proportional to 45,698 and 105,893 is: 245,378.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,698 : 105,893 = 105,893 : x
  2. Step 2: Convert to fraction form
    45,698/105,893 = 105,893/x
  3. Step 3: Cross multiply
    45,698x = 105,893 × 105,893
  4. Step 4: Simplify right side
    45,698x = 11,213,327,449
  5. Step 5: Solve for x
    x = 11,213,327,449/45,698
  6. Step 6: Final answer
    x = 245,378.95

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.