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Finding the Third Proportional to 34,578 and 75,634

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Solution

The third proportional to 34,578 and 75,634 is: 165,437.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,578 : 75,634 = 75,634 : x
  2. Step 2: Convert to fraction form
    34,578/75,634 = 75,634/x
  3. Step 3: Cross multiply
    34,578x = 75,634 × 75,634
  4. Step 4: Simplify right side
    34,578x = 5,720,501,956
  5. Step 5: Solve for x
    x = 5,720,501,956/34,578
  6. Step 6: Final answer
    x = 165,437.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.