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Finding the Third Proportional to 81,450 and 131,429

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Solution

The third proportional to 81,450 and 131,429 is: 212,075.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,450 : 131,429 = 131,429 : x
  2. Step 2: Convert to fraction form
    81,450/131,429 = 131,429/x
  3. Step 3: Cross multiply
    81,450x = 131,429 × 131,429
  4. Step 4: Simplify right side
    81,450x = 17,273,582,041
  5. Step 5: Solve for x
    x = 17,273,582,041/81,450
  6. Step 6: Final answer
    x = 212,075.90

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.