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Finding the Third Proportional to 76,298 and 161,172

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Solution

The third proportional to 76,298 and 161,172 is: 340,459.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,298 : 161,172 = 161,172 : x
  2. Step 2: Convert to fraction form
    76,298/161,172 = 161,172/x
  3. Step 3: Cross multiply
    76,298x = 161,172 × 161,172
  4. Step 4: Simplify right side
    76,298x = 25,976,413,584
  5. Step 5: Solve for x
    x = 25,976,413,584/76,298
  6. Step 6: Final answer
    x = 340,459.95

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.