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Finding the Third Proportional to 82,519.75 and 122,281

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Solution

The third proportional to 82,519.75 and 122,281 is: 181,200.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,519.75 : 122,281 = 122,281 : x
  2. Step 2: Convert to fraction form
    82,519.75/122,281 = 122,281/x
  3. Step 3: Cross multiply
    82,519.75x = 122,281 × 122,281
  4. Step 4: Simplify right side
    82,519.75x = 14,952,642,961
  5. Step 5: Solve for x
    x = 14,952,642,961/82,519.75
  6. Step 6: Final answer
    x = 181,200.78

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.