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Finding the Third Proportional to 82,580 and 126,533

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Solution

The third proportional to 82,580 and 126,533 is: 193,879.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,580 : 126,533 = 126,533 : x
  2. Step 2: Convert to fraction form
    82,580/126,533 = 126,533/x
  3. Step 3: Cross multiply
    82,580x = 126,533 × 126,533
  4. Step 4: Simplify right side
    82,580x = 16,010,600,089
  5. Step 5: Solve for x
    x = 16,010,600,089/82,580
  6. Step 6: Final answer
    x = 193,879.88

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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.