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Finding the Third Proportional to 82,966 and 127,596

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Solution

The third proportional to 82,966 and 127,596 is: 196,233.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,966 : 127,596 = 127,596 : x
  2. Step 2: Convert to fraction form
    82,966/127,596 = 127,596/x
  3. Step 3: Cross multiply
    82,966x = 127,596 × 127,596
  4. Step 4: Simplify right side
    82,966x = 16,280,739,216
  5. Step 5: Solve for x
    x = 16,280,739,216/82,966
  6. Step 6: Final answer
    x = 196,233.87

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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.