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Finding the Third Proportional to 77,954 and 172,804

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Solution

The third proportional to 77,954 and 172,804 is: 383,062.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,954 : 172,804 = 172,804 : x
  2. Step 2: Convert to fraction form
    77,954/172,804 = 172,804/x
  3. Step 3: Cross multiply
    77,954x = 172,804 × 172,804
  4. Step 4: Simplify right side
    77,954x = 29,861,222,416
  5. Step 5: Solve for x
    x = 29,861,222,416/77,954
  6. Step 6: Final answer
    x = 383,062.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.