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Finding the Third Proportional to 104,100 and 155,865

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Solution

The third proportional to 104,100 and 155,865 is: 233,370.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,100 : 155,865 = 155,865 : x
  2. Step 2: Convert to fraction form
    104,100/155,865 = 155,865/x
  3. Step 3: Cross multiply
    104,100x = 155,865 × 155,865
  4. Step 4: Simplify right side
    104,100x = 24,293,898,225
  5. Step 5: Solve for x
    x = 24,293,898,225/104,100
  6. Step 6: Final answer
    x = 233,370.78

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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.