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Finding the Third Proportional to 70,266 and 102,770

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Solution

The third proportional to 70,266 and 102,770 is: 150,309.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,266 : 102,770 = 102,770 : x
  2. Step 2: Convert to fraction form
    70,266/102,770 = 102,770/x
  3. Step 3: Cross multiply
    70,266x = 102,770 × 102,770
  4. Step 4: Simplify right side
    70,266x = 10,561,672,900
  5. Step 5: Solve for x
    x = 10,561,672,900/70,266
  6. Step 6: Final answer
    x = 150,309.86

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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.