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Finding the Third Proportional to 54,095 and 83,199

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Solution

The third proportional to 54,095 and 83,199 is: 127,961.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,095 : 83,199 = 83,199 : x
  2. Step 2: Convert to fraction form
    54,095/83,199 = 83,199/x
  3. Step 3: Cross multiply
    54,095x = 83,199 × 83,199
  4. Step 4: Simplify right side
    54,095x = 6,922,073,601
  5. Step 5: Solve for x
    x = 6,922,073,601/54,095
  6. Step 6: Final answer
    x = 127,961.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.