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Finding the Third Proportional to 84,126 and 179,925

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Solution

The third proportional to 84,126 and 179,925 is: 384,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,126 : 179,925 = 179,925 : x
  2. Step 2: Convert to fraction form
    84,126/179,925 = 179,925/x
  3. Step 3: Cross multiply
    84,126x = 179,925 × 179,925
  4. Step 4: Simplify right side
    84,126x = 32,373,005,625
  5. Step 5: Solve for x
    x = 32,373,005,625/84,126
  6. Step 6: Final answer
    x = 384,815.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.