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Finding the Third Proportional to 51,884 and 81,066

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Solution

The third proportional to 51,884 and 81,066 is: 126,661.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,884 : 81,066 = 81,066 : x
  2. Step 2: Convert to fraction form
    51,884/81,066 = 81,066/x
  3. Step 3: Cross multiply
    51,884x = 81,066 × 81,066
  4. Step 4: Simplify right side
    51,884x = 6,571,696,356
  5. Step 5: Solve for x
    x = 6,571,696,356/51,884
  6. Step 6: Final answer
    x = 126,661.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.