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Finding the Third Proportional to 103,849 and 155,600

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Solution

The third proportional to 103,849 and 155,600 is: 233,140.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,849 : 155,600 = 155,600 : x
  2. Step 2: Convert to fraction form
    103,849/155,600 = 155,600/x
  3. Step 3: Cross multiply
    103,849x = 155,600 × 155,600
  4. Step 4: Simplify right side
    103,849x = 24,211,360,000
  5. Step 5: Solve for x
    x = 24,211,360,000/103,849
  6. Step 6: Final answer
    x = 233,140.04

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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.