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Finding the Third Proportional to 54,413 and 83,241

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Solution

The third proportional to 54,413 and 83,241 is: 127,342.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,413 : 83,241 = 83,241 : x
  2. Step 2: Convert to fraction form
    54,413/83,241 = 83,241/x
  3. Step 3: Cross multiply
    54,413x = 83,241 × 83,241
  4. Step 4: Simplify right side
    54,413x = 6,929,064,081
  5. Step 5: Solve for x
    x = 6,929,064,081/54,413
  6. Step 6: Final answer
    x = 127,342.07

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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.