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Finding the Third Proportional to 82,503 and 128,682

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Solution

The third proportional to 82,503 and 128,682 is: 200,708.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,503 : 128,682 = 128,682 : x
  2. Step 2: Convert to fraction form
    82,503/128,682 = 128,682/x
  3. Step 3: Cross multiply
    82,503x = 128,682 × 128,682
  4. Step 4: Simplify right side
    82,503x = 16,559,057,124
  5. Step 5: Solve for x
    x = 16,559,057,124/82,503
  6. Step 6: Final answer
    x = 200,708.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.