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Finding the Third Proportional to 95,560 and 205,989

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Solution

The third proportional to 95,560 and 205,989 is: 444,029.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,560 : 205,989 = 205,989 : x
  2. Step 2: Convert to fraction form
    95,560/205,989 = 205,989/x
  3. Step 3: Cross multiply
    95,560x = 205,989 × 205,989
  4. Step 4: Simplify right side
    95,560x = 42,431,468,121
  5. Step 5: Solve for x
    x = 42,431,468,121/95,560
  6. Step 6: Final answer
    x = 444,029.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.