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Finding the Third Proportional to 103,617 and 155,425

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Solution

The third proportional to 103,617 and 155,425 is: 233,136.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,617 : 155,425 = 155,425 : x
  2. Step 2: Convert to fraction form
    103,617/155,425 = 155,425/x
  3. Step 3: Cross multiply
    103,617x = 155,425 × 155,425
  4. Step 4: Simplify right side
    103,617x = 24,156,930,625
  5. Step 5: Solve for x
    x = 24,156,930,625/103,617
  6. Step 6: Final answer
    x = 233,136.75

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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.