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Finding the Third Proportional to 54,591 and 83,343

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Solution

The third proportional to 54,591 and 83,343 is: 127,238.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,591 : 83,343 = 83,343 : x
  2. Step 2: Convert to fraction form
    54,591/83,343 = 83,343/x
  3. Step 3: Cross multiply
    54,591x = 83,343 × 83,343
  4. Step 4: Simplify right side
    54,591x = 6,946,055,649
  5. Step 5: Solve for x
    x = 6,946,055,649/54,591
  6. Step 6: Final answer
    x = 127,238.11

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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.