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Finding the Third Proportional to 89,719 and 193,261

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Solution

The third proportional to 89,719 and 193,261 is: 416,297.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,719 : 193,261 = 193,261 : x
  2. Step 2: Convert to fraction form
    89,719/193,261 = 193,261/x
  3. Step 3: Cross multiply
    89,719x = 193,261 × 193,261
  4. Step 4: Simplify right side
    89,719x = 37,349,814,121
  5. Step 5: Solve for x
    x = 37,349,814,121/89,719
  6. Step 6: Final answer
    x = 416,297.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.