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Finding the Third Proportional to 103,677 and 155,912

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Solution

The third proportional to 103,677 and 155,912 is: 234,464.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,677 : 155,912 = 155,912 : x
  2. Step 2: Convert to fraction form
    103,677/155,912 = 155,912/x
  3. Step 3: Cross multiply
    103,677x = 155,912 × 155,912
  4. Step 4: Simplify right side
    103,677x = 24,308,551,744
  5. Step 5: Solve for x
    x = 24,308,551,744/103,677
  6. Step 6: Final answer
    x = 234,464.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.