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Finding the Third Proportional to 80,553 and 172,770

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Solution

The third proportional to 80,553 and 172,770 is: 370,556.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,553 : 172,770 = 172,770 : x
  2. Step 2: Convert to fraction form
    80,553/172,770 = 172,770/x
  3. Step 3: Cross multiply
    80,553x = 172,770 × 172,770
  4. Step 4: Simplify right side
    80,553x = 29,849,472,900
  5. Step 5: Solve for x
    x = 29,849,472,900/80,553
  6. Step 6: Final answer
    x = 370,556.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.