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Finding the Third Proportional to 82,974 and 127,614

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Solution

The third proportional to 82,974 and 127,614 is: 196,270.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,974 : 127,614 = 127,614 : x
  2. Step 2: Convert to fraction form
    82,974/127,614 = 127,614/x
  3. Step 3: Cross multiply
    82,974x = 127,614 × 127,614
  4. Step 4: Simplify right side
    82,974x = 16,285,332,996
  5. Step 5: Solve for x
    x = 16,285,332,996/82,974
  6. Step 6: Final answer
    x = 196,270.31

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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.