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Finding the Third Proportional to 84,966 and 175,392

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Solution

The third proportional to 84,966 and 175,392 is: 362,054.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,966 : 175,392 = 175,392 : x
  2. Step 2: Convert to fraction form
    84,966/175,392 = 175,392/x
  3. Step 3: Cross multiply
    84,966x = 175,392 × 175,392
  4. Step 4: Simplify right side
    84,966x = 30,762,353,664
  5. Step 5: Solve for x
    x = 30,762,353,664/84,966
  6. Step 6: Final answer
    x = 362,054.87

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.