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Finding the Third Proportional to 62,984 and 131,314

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Solution

The third proportional to 62,984 and 131,314 is: 273,773.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,984 : 131,314 = 131,314 : x
  2. Step 2: Convert to fraction form
    62,984/131,314 = 131,314/x
  3. Step 3: Cross multiply
    62,984x = 131,314 × 131,314
  4. Step 4: Simplify right side
    62,984x = 17,243,366,596
  5. Step 5: Solve for x
    x = 17,243,366,596/62,984
  6. Step 6: Final answer
    x = 273,773.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.