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Finding the Third Proportional to 34,298 and 74,879

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Solution

The third proportional to 34,298 and 74,879 is: 163,474.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,298 : 74,879 = 74,879 : x
  2. Step 2: Convert to fraction form
    34,298/74,879 = 74,879/x
  3. Step 3: Cross multiply
    34,298x = 74,879 × 74,879
  4. Step 4: Simplify right side
    34,298x = 5,606,864,641
  5. Step 5: Solve for x
    x = 5,606,864,641/34,298
  6. Step 6: Final answer
    x = 163,474.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.