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Finding the Third Proportional to 82,969 and 127,601

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Solution

The third proportional to 82,969 and 127,601 is: 196,242.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,969 : 127,601 = 127,601 : x
  2. Step 2: Convert to fraction form
    82,969/127,601 = 127,601/x
  3. Step 3: Cross multiply
    82,969x = 127,601 × 127,601
  4. Step 4: Simplify right side
    82,969x = 16,282,015,201
  5. Step 5: Solve for x
    x = 16,282,015,201/82,969
  6. Step 6: Final answer
    x = 196,242.15

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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.