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Finding the Third Proportional to 101,919 and 154,419

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Solution

The third proportional to 101,919 and 154,419 is: 233,962.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,919 : 154,419 = 154,419 : x
  2. Step 2: Convert to fraction form
    101,919/154,419 = 154,419/x
  3. Step 3: Cross multiply
    101,919x = 154,419 × 154,419
  4. Step 4: Simplify right side
    101,919x = 23,845,227,561
  5. Step 5: Solve for x
    x = 23,845,227,561/101,919
  6. Step 6: Final answer
    x = 233,962.53

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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.