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Finding the Third Proportional to 54,682 and 84,331

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Solution

The third proportional to 54,682 and 84,331 is: 130,055.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,682 : 84,331 = 84,331 : x
  2. Step 2: Convert to fraction form
    54,682/84,331 = 84,331/x
  3. Step 3: Cross multiply
    54,682x = 84,331 × 84,331
  4. Step 4: Simplify right side
    54,682x = 7,111,717,561
  5. Step 5: Solve for x
    x = 7,111,717,561/54,682
  6. Step 6: Final answer
    x = 130,055.92

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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.