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Finding the Third Proportional to 101,846 and 149,812

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Solution

The third proportional to 101,846 and 149,812 is: 220,368.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,846 : 149,812 = 149,812 : x
  2. Step 2: Convert to fraction form
    101,846/149,812 = 149,812/x
  3. Step 3: Cross multiply
    101,846x = 149,812 × 149,812
  4. Step 4: Simplify right side
    101,846x = 22,443,635,344
  5. Step 5: Solve for x
    x = 22,443,635,344/101,846
  6. Step 6: Final answer
    x = 220,368.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.