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Finding the Third Proportional to 96,924 and 205,356

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Solution

The third proportional to 96,924 and 205,356 is: 435,094.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,924 : 205,356 = 205,356 : x
  2. Step 2: Convert to fraction form
    96,924/205,356 = 205,356/x
  3. Step 3: Cross multiply
    96,924x = 205,356 × 205,356
  4. Step 4: Simplify right side
    96,924x = 42,171,086,736
  5. Step 5: Solve for x
    x = 42,171,086,736/96,924
  6. Step 6: Final answer
    x = 435,094.37

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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.