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Finding the Third Proportional to 96,927 and 205,592

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Solution

The third proportional to 96,927 and 205,592 is: 436,081.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,927 : 205,592 = 205,592 : x
  2. Step 2: Convert to fraction form
    96,927/205,592 = 205,592/x
  3. Step 3: Cross multiply
    96,927x = 205,592 × 205,592
  4. Step 4: Simplify right side
    96,927x = 42,268,070,464
  5. Step 5: Solve for x
    x = 42,268,070,464/96,927
  6. Step 6: Final answer
    x = 436,081.49

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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.