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Finding the Third Proportional to 102,861 and 155,385

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Solution

The third proportional to 102,861 and 155,385 is: 234,729.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,861 : 155,385 = 155,385 : x
  2. Step 2: Convert to fraction form
    102,861/155,385 = 155,385/x
  3. Step 3: Cross multiply
    102,861x = 155,385 × 155,385
  4. Step 4: Simplify right side
    102,861x = 24,144,498,225
  5. Step 5: Solve for x
    x = 24,144,498,225/102,861
  6. Step 6: Final answer
    x = 234,729.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.