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Finding the Third Proportional to 82,011 and 133,920

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Solution

The third proportional to 82,011 and 133,920 is: 218,684.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,011 : 133,920 = 133,920 : x
  2. Step 2: Convert to fraction form
    82,011/133,920 = 133,920/x
  3. Step 3: Cross multiply
    82,011x = 133,920 × 133,920
  4. Step 4: Simplify right side
    82,011x = 17,934,566,400
  5. Step 5: Solve for x
    x = 17,934,566,400/82,011
  6. Step 6: Final answer
    x = 218,684.89

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.