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Finding the Third Proportional to 103,777 and 155,667

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Solution

The third proportional to 103,777 and 155,667 is: 233,502.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,777 : 155,667 = 155,667 : x
  2. Step 2: Convert to fraction form
    103,777/155,667 = 155,667/x
  3. Step 3: Cross multiply
    103,777x = 155,667 × 155,667
  4. Step 4: Simplify right side
    103,777x = 24,232,214,889
  5. Step 5: Solve for x
    x = 24,232,214,889/103,777
  6. Step 6: Final answer
    x = 233,502.75

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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.