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Finding the Third Proportional to 53,112 and 80,982

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Solution

The third proportional to 53,112 and 80,982 is: 123,476.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,112 : 80,982 = 80,982 : x
  2. Step 2: Convert to fraction form
    53,112/80,982 = 80,982/x
  3. Step 3: Cross multiply
    53,112x = 80,982 × 80,982
  4. Step 4: Simplify right side
    53,112x = 6,558,084,324
  5. Step 5: Solve for x
    x = 6,558,084,324/53,112
  6. Step 6: Final answer
    x = 123,476.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.