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Finding the Third Proportional to 84,826 and 131,410

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Solution

The third proportional to 84,826 and 131,410 is: 203,576.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,826 : 131,410 = 131,410 : x
  2. Step 2: Convert to fraction form
    84,826/131,410 = 131,410/x
  3. Step 3: Cross multiply
    84,826x = 131,410 × 131,410
  4. Step 4: Simplify right side
    84,826x = 17,268,588,100
  5. Step 5: Solve for x
    x = 17,268,588,100/84,826
  6. Step 6: Final answer
    x = 203,576.59

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.