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Finding the Third Proportional to 51,080 and 109,940

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Solution

The third proportional to 51,080 and 109,940 is: 236,624.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,080 : 109,940 = 109,940 : x
  2. Step 2: Convert to fraction form
    51,080/109,940 = 109,940/x
  3. Step 3: Cross multiply
    51,080x = 109,940 × 109,940
  4. Step 4: Simplify right side
    51,080x = 12,086,803,600
  5. Step 5: Solve for x
    x = 12,086,803,600/51,080
  6. Step 6: Final answer
    x = 236,624.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.