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Finding the Third Proportional to 76,754 and 165,172

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Solution

The third proportional to 76,754 and 165,172 is: 355,444.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,754 : 165,172 = 165,172 : x
  2. Step 2: Convert to fraction form
    76,754/165,172 = 165,172/x
  3. Step 3: Cross multiply
    76,754x = 165,172 × 165,172
  4. Step 4: Simplify right side
    76,754x = 27,281,789,584
  5. Step 5: Solve for x
    x = 27,281,789,584/76,754
  6. Step 6: Final answer
    x = 355,444.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.