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Finding the Third Proportional to 103,684 and 151,638

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Solution

The third proportional to 103,684 and 151,638 is: 221,770.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,684 : 151,638 = 151,638 : x
  2. Step 2: Convert to fraction form
    103,684/151,638 = 151,638/x
  3. Step 3: Cross multiply
    103,684x = 151,638 × 151,638
  4. Step 4: Simplify right side
    103,684x = 22,994,083,044
  5. Step 5: Solve for x
    x = 22,994,083,044/103,684
  6. Step 6: Final answer
    x = 221,770.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.