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Finding the Third Proportional to 51,135 and 109,556

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Solution

The third proportional to 51,135 and 109,556 is: 234,722.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,135 : 109,556 = 109,556 : x
  2. Step 2: Convert to fraction form
    51,135/109,556 = 109,556/x
  3. Step 3: Cross multiply
    51,135x = 109,556 × 109,556
  4. Step 4: Simplify right side
    51,135x = 12,002,517,136
  5. Step 5: Solve for x
    x = 12,002,517,136/51,135
  6. Step 6: Final answer
    x = 234,722.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.