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Finding the Third Proportional to 76,004 and 169,483

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Solution

The third proportional to 76,004 and 169,483 is: 377,933.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,004 : 169,483 = 169,483 : x
  2. Step 2: Convert to fraction form
    76,004/169,483 = 169,483/x
  3. Step 3: Cross multiply
    76,004x = 169,483 × 169,483
  4. Step 4: Simplify right side
    76,004x = 28,724,487,289
  5. Step 5: Solve for x
    x = 28,724,487,289/76,004
  6. Step 6: Final answer
    x = 377,933.89

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.