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Finding the Third Proportional to 75,464 and 154,704

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Solution

The third proportional to 75,464 and 154,704 is: 317,148.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,464 : 154,704 = 154,704 : x
  2. Step 2: Convert to fraction form
    75,464/154,704 = 154,704/x
  3. Step 3: Cross multiply
    75,464x = 154,704 × 154,704
  4. Step 4: Simplify right side
    75,464x = 23,933,327,616
  5. Step 5: Solve for x
    x = 23,933,327,616/75,464
  6. Step 6: Final answer
    x = 317,148.94

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.