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Finding the Third Proportional to 78,797 and 172,893

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Solution

The third proportional to 78,797 and 172,893 is: 379,354.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,797 : 172,893 = 172,893 : x
  2. Step 2: Convert to fraction form
    78,797/172,893 = 172,893/x
  3. Step 3: Cross multiply
    78,797x = 172,893 × 172,893
  4. Step 4: Simplify right side
    78,797x = 29,891,989,449
  5. Step 5: Solve for x
    x = 29,891,989,449/78,797
  6. Step 6: Final answer
    x = 379,354.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.