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Finding the Third Proportional to 84,921 and 176,802

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Solution

The third proportional to 84,921 and 176,802 is: 368,094.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,921 : 176,802 = 176,802 : x
  2. Step 2: Convert to fraction form
    84,921/176,802 = 176,802/x
  3. Step 3: Cross multiply
    84,921x = 176,802 × 176,802
  4. Step 4: Simplify right side
    84,921x = 31,258,947,204
  5. Step 5: Solve for x
    x = 31,258,947,204/84,921
  6. Step 6: Final answer
    x = 368,094.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.