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Finding the Third Proportional to 100,743 and 154,275

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Solution

The third proportional to 100,743 and 154,275 is: 236,252.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,743 : 154,275 = 154,275 : x
  2. Step 2: Convert to fraction form
    100,743/154,275 = 154,275/x
  3. Step 3: Cross multiply
    100,743x = 154,275 × 154,275
  4. Step 4: Simplify right side
    100,743x = 23,800,775,625
  5. Step 5: Solve for x
    x = 23,800,775,625/100,743
  6. Step 6: Final answer
    x = 236,252.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.