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Finding the Third Proportional to 96,942 and 207,924

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Solution

The third proportional to 96,942 and 207,924 is: 445,961.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,942 : 207,924 = 207,924 : x
  2. Step 2: Convert to fraction form
    96,942/207,924 = 207,924/x
  3. Step 3: Cross multiply
    96,942x = 207,924 × 207,924
  4. Step 4: Simplify right side
    96,942x = 43,232,389,776
  5. Step 5: Solve for x
    x = 43,232,389,776/96,942
  6. Step 6: Final answer
    x = 445,961.40

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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.