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Finding the Third Proportional to 82,529 and 124,583

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Solution

The third proportional to 82,529 and 124,583 is: 188,066.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,529 : 124,583 = 124,583 : x
  2. Step 2: Convert to fraction form
    82,529/124,583 = 124,583/x
  3. Step 3: Cross multiply
    82,529x = 124,583 × 124,583
  4. Step 4: Simplify right side
    82,529x = 15,520,923,889
  5. Step 5: Solve for x
    x = 15,520,923,889/82,529
  6. Step 6: Final answer
    x = 188,066.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.