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Finding the Third Proportional to 84,023 and 175,836

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Solution

The third proportional to 84,023 and 175,836 is: 367,974.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,023 : 175,836 = 175,836 : x
  2. Step 2: Convert to fraction form
    84,023/175,836 = 175,836/x
  3. Step 3: Cross multiply
    84,023x = 175,836 × 175,836
  4. Step 4: Simplify right side
    84,023x = 30,918,298,896
  5. Step 5: Solve for x
    x = 30,918,298,896/84,023
  6. Step 6: Final answer
    x = 367,974.23

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.