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Finding the Third Proportional to 84,503 and 179,765

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Solution

The third proportional to 84,503 and 179,765 is: 382,417.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,503 : 179,765 = 179,765 : x
  2. Step 2: Convert to fraction form
    84,503/179,765 = 179,765/x
  3. Step 3: Cross multiply
    84,503x = 179,765 × 179,765
  4. Step 4: Simplify right side
    84,503x = 32,315,455,225
  5. Step 5: Solve for x
    x = 32,315,455,225/84,503
  6. Step 6: Final answer
    x = 382,417.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.