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Finding the Third Proportional to 54,546 and 83,811

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Solution

The third proportional to 54,546 and 83,811 is: 128,777.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,546 : 83,811 = 83,811 : x
  2. Step 2: Convert to fraction form
    54,546/83,811 = 83,811/x
  3. Step 3: Cross multiply
    54,546x = 83,811 × 83,811
  4. Step 4: Simplify right side
    54,546x = 7,024,283,721
  5. Step 5: Solve for x
    x = 7,024,283,721/54,546
  6. Step 6: Final answer
    x = 128,777.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.