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Finding the Third Proportional to 76,473 and 164,021

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Solution

The third proportional to 76,473 and 164,021 is: 351,795.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,473 : 164,021 = 164,021 : x
  2. Step 2: Convert to fraction form
    76,473/164,021 = 164,021/x
  3. Step 3: Cross multiply
    76,473x = 164,021 × 164,021
  4. Step 4: Simplify right side
    76,473x = 26,902,888,441
  5. Step 5: Solve for x
    x = 26,902,888,441/76,473
  6. Step 6: Final answer
    x = 351,795.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.