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Finding the Third Proportional to 103,714 and 164,912

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Solution

The third proportional to 103,714 and 164,912 is: 262,220.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,714 : 164,912 = 164,912 : x
  2. Step 2: Convert to fraction form
    103,714/164,912 = 164,912/x
  3. Step 3: Cross multiply
    103,714x = 164,912 × 164,912
  4. Step 4: Simplify right side
    103,714x = 27,195,967,744
  5. Step 5: Solve for x
    x = 27,195,967,744/103,714
  6. Step 6: Final answer
    x = 262,220.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.