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Finding the Third Proportional to 80,233 and 124,736

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Solution

The third proportional to 80,233 and 124,736 is: 193,923.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,233 : 124,736 = 124,736 : x
  2. Step 2: Convert to fraction form
    80,233/124,736 = 124,736/x
  3. Step 3: Cross multiply
    80,233x = 124,736 × 124,736
  4. Step 4: Simplify right side
    80,233x = 15,559,069,696
  5. Step 5: Solve for x
    x = 15,559,069,696/80,233
  6. Step 6: Final answer
    x = 193,923.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.