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Finding the Third Proportional to 84,962 and 134,974

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Solution

The third proportional to 84,962 and 134,974 is: 214,425.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,962 : 134,974 = 134,974 : x
  2. Step 2: Convert to fraction form
    84,962/134,974 = 134,974/x
  3. Step 3: Cross multiply
    84,962x = 134,974 × 134,974
  4. Step 4: Simplify right side
    84,962x = 18,217,980,676
  5. Step 5: Solve for x
    x = 18,217,980,676/84,962
  6. Step 6: Final answer
    x = 214,425.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.