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Finding the Third Proportional to 51,267 and 70,263

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Solution

The third proportional to 51,267 and 70,263 is: 96,297.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,267 : 70,263 = 70,263 : x
  2. Step 2: Convert to fraction form
    51,267/70,263 = 70,263/x
  3. Step 3: Cross multiply
    51,267x = 70,263 × 70,263
  4. Step 4: Simplify right side
    51,267x = 4,936,889,169
  5. Step 5: Solve for x
    x = 4,936,889,169/51,267
  6. Step 6: Final answer
    x = 96,297.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.