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Finding the Third Proportional to 101,493 and 154,629

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Solution

The third proportional to 101,493 and 154,629 is: 235,584.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,493 : 154,629 = 154,629 : x
  2. Step 2: Convert to fraction form
    101,493/154,629 = 154,629/x
  3. Step 3: Cross multiply
    101,493x = 154,629 × 154,629
  4. Step 4: Simplify right side
    101,493x = 23,910,127,641
  5. Step 5: Solve for x
    x = 23,910,127,641/101,493
  6. Step 6: Final answer
    x = 235,584.01

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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.