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Finding the Third Proportional to 102,863 and 155,393

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Solution

The third proportional to 102,863 and 155,393 is: 234,748.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,863 : 155,393 = 155,393 : x
  2. Step 2: Convert to fraction form
    102,863/155,393 = 155,393/x
  3. Step 3: Cross multiply
    102,863x = 155,393 × 155,393
  4. Step 4: Simplify right side
    102,863x = 24,146,984,449
  5. Step 5: Solve for x
    x = 24,146,984,449/102,863
  6. Step 6: Final answer
    x = 234,748.98

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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.