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Finding the Third Proportional to 51,016 and 78,797

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Solution

The third proportional to 51,016 and 78,797 is: 121,706.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,016 : 78,797 = 78,797 : x
  2. Step 2: Convert to fraction form
    51,016/78,797 = 78,797/x
  3. Step 3: Cross multiply
    51,016x = 78,797 × 78,797
  4. Step 4: Simplify right side
    51,016x = 6,208,967,209
  5. Step 5: Solve for x
    x = 6,208,967,209/51,016
  6. Step 6: Final answer
    x = 121,706.27

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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.