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Finding the Third Proportional to 82,525 and 123,479

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Solution

The third proportional to 82,525 and 123,479 is: 184,756.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,525 : 123,479 = 123,479 : x
  2. Step 2: Convert to fraction form
    82,525/123,479 = 123,479/x
  3. Step 3: Cross multiply
    82,525x = 123,479 × 123,479
  4. Step 4: Simplify right side
    82,525x = 15,247,063,441
  5. Step 5: Solve for x
    x = 15,247,063,441/82,525
  6. Step 6: Final answer
    x = 184,756.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.