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Finding the Third Proportional to 95,607 and 207,981

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Solution

The third proportional to 95,607 and 207,981 is: 452,436.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,607 : 207,981 = 207,981 : x
  2. Step 2: Convert to fraction form
    95,607/207,981 = 207,981/x
  3. Step 3: Cross multiply
    95,607x = 207,981 × 207,981
  4. Step 4: Simplify right side
    95,607x = 43,256,096,361
  5. Step 5: Solve for x
    x = 43,256,096,361/95,607
  6. Step 6: Final answer
    x = 452,436.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.