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Finding the Third Proportional to 53,698 and 115,172

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Solution

The third proportional to 53,698 and 115,172 is: 247,022.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,698 : 115,172 = 115,172 : x
  2. Step 2: Convert to fraction form
    53,698/115,172 = 115,172/x
  3. Step 3: Cross multiply
    53,698x = 115,172 × 115,172
  4. Step 4: Simplify right side
    53,698x = 13,264,589,584
  5. Step 5: Solve for x
    x = 13,264,589,584/53,698
  6. Step 6: Final answer
    x = 247,022.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.