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Finding the Third Proportional to 101,586 and 154,644

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Solution

The third proportional to 101,586 and 154,644 is: 235,414.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,586 : 154,644 = 154,644 : x
  2. Step 2: Convert to fraction form
    101,586/154,644 = 154,644/x
  3. Step 3: Cross multiply
    101,586x = 154,644 × 154,644
  4. Step 4: Simplify right side
    101,586x = 23,914,766,736
  5. Step 5: Solve for x
    x = 23,914,766,736/101,586
  6. Step 6: Final answer
    x = 235,414.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.