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Finding the Third Proportional to 70,020 and 106,325

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Solution

The third proportional to 70,020 and 106,325 is: 161,453.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,020 : 106,325 = 106,325 : x
  2. Step 2: Convert to fraction form
    70,020/106,325 = 106,325/x
  3. Step 3: Cross multiply
    70,020x = 106,325 × 106,325
  4. Step 4: Simplify right side
    70,020x = 11,305,005,625
  5. Step 5: Solve for x
    x = 11,305,005,625/70,020
  6. Step 6: Final answer
    x = 161,453.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.