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Finding the Third Proportional to 82,584 and 126,539

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Solution

The third proportional to 82,584 and 126,539 is: 193,888.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,584 : 126,539 = 126,539 : x
  2. Step 2: Convert to fraction form
    82,584/126,539 = 126,539/x
  3. Step 3: Cross multiply
    82,584x = 126,539 × 126,539
  4. Step 4: Simplify right side
    82,584x = 16,012,118,521
  5. Step 5: Solve for x
    x = 16,012,118,521/82,584
  6. Step 6: Final answer
    x = 193,888.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.