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Finding the Third Proportional to 51,069 and 109,153

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Solution

The third proportional to 51,069 and 109,153 is: 233,299.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,069 : 109,153 = 109,153 : x
  2. Step 2: Convert to fraction form
    51,069/109,153 = 109,153/x
  3. Step 3: Cross multiply
    51,069x = 109,153 × 109,153
  4. Step 4: Simplify right side
    51,069x = 11,914,377,409
  5. Step 5: Solve for x
    x = 11,914,377,409/51,069
  6. Step 6: Final answer
    x = 233,299.60

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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.