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Finding the Third Proportional to 76,802 and 183,173

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Solution

The third proportional to 76,802 and 183,173 is: 436,868.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,802 : 183,173 = 183,173 : x
  2. Step 2: Convert to fraction form
    76,802/183,173 = 183,173/x
  3. Step 3: Cross multiply
    76,802x = 183,173 × 183,173
  4. Step 4: Simplify right side
    76,802x = 33,552,347,929
  5. Step 5: Solve for x
    x = 33,552,347,929/76,802
  6. Step 6: Final answer
    x = 436,868.15

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.