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Finding the Third Proportional to 70,264 and 102,767

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Solution

The third proportional to 70,264 and 102,767 is: 150,305.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,264 : 102,767 = 102,767 : x
  2. Step 2: Convert to fraction form
    70,264/102,767 = 102,767/x
  3. Step 3: Cross multiply
    70,264x = 102,767 × 102,767
  4. Step 4: Simplify right side
    70,264x = 10,561,056,289
  5. Step 5: Solve for x
    x = 10,561,056,289/70,264
  6. Step 6: Final answer
    x = 150,305.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.