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Finding the Third Proportional to 48,531 and 102,893

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Solution

The third proportional to 48,531 and 102,893 is: 218,148.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,531 : 102,893 = 102,893 : x
  2. Step 2: Convert to fraction form
    48,531/102,893 = 102,893/x
  3. Step 3: Cross multiply
    48,531x = 102,893 × 102,893
  4. Step 4: Simplify right side
    48,531x = 10,586,969,449
  5. Step 5: Solve for x
    x = 10,586,969,449/48,531
  6. Step 6: Final answer
    x = 218,148.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.