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Finding the Third Proportional to 83,766 and 127,944

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Solution

The third proportional to 83,766 and 127,944 is: 195,421.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,766 : 127,944 = 127,944 : x
  2. Step 2: Convert to fraction form
    83,766/127,944 = 127,944/x
  3. Step 3: Cross multiply
    83,766x = 127,944 × 127,944
  4. Step 4: Simplify right side
    83,766x = 16,369,667,136
  5. Step 5: Solve for x
    x = 16,369,667,136/83,766
  6. Step 6: Final answer
    x = 195,421.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.