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Finding the Third Proportional to 80,292 and 122,533

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Solution

The third proportional to 80,292 and 122,533 is: 186,996.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,292 : 122,533 = 122,533 : x
  2. Step 2: Convert to fraction form
    80,292/122,533 = 122,533/x
  3. Step 3: Cross multiply
    80,292x = 122,533 × 122,533
  4. Step 4: Simplify right side
    80,292x = 15,014,336,089
  5. Step 5: Solve for x
    x = 15,014,336,089/80,292
  6. Step 6: Final answer
    x = 186,996.66

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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.