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Finding the Third Proportional to 54,014 and 84,539

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Solution

The third proportional to 54,014 and 84,539 is: 132,314.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,014 : 84,539 = 84,539 : x
  2. Step 2: Convert to fraction form
    54,014/84,539 = 84,539/x
  3. Step 3: Cross multiply
    54,014x = 84,539 × 84,539
  4. Step 4: Simplify right side
    54,014x = 7,146,842,521
  5. Step 5: Solve for x
    x = 7,146,842,521/54,014
  6. Step 6: Final answer
    x = 132,314.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.