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Finding the Third Proportional to 74,698 and 115,669

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Solution

The third proportional to 74,698 and 115,669 is: 179,112.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,698 : 115,669 = 115,669 : x
  2. Step 2: Convert to fraction form
    74,698/115,669 = 115,669/x
  3. Step 3: Cross multiply
    74,698x = 115,669 × 115,669
  4. Step 4: Simplify right side
    74,698x = 13,379,317,561
  5. Step 5: Solve for x
    x = 13,379,317,561/74,698
  6. Step 6: Final answer
    x = 179,112.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.