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Finding the Third Proportional to 54,563 and 84,094

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Solution

The third proportional to 54,563 and 84,094 is: 129,607.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,563 : 84,094 = 84,094 : x
  2. Step 2: Convert to fraction form
    54,563/84,094 = 84,094/x
  3. Step 3: Cross multiply
    54,563x = 84,094 × 84,094
  4. Step 4: Simplify right side
    54,563x = 7,071,800,836
  5. Step 5: Solve for x
    x = 7,071,800,836/54,563
  6. Step 6: Final answer
    x = 129,607.99

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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.