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Finding the Third Proportional to 54,671.25 and 81,722.25

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Solution

The third proportional to 54,671.25 and 81,722.25 is: 122,157.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,671.25 : 81,722.25 = 81,722.25 : x
  2. Step 2: Convert to fraction form
    54,671.25/81,722.25 = 81,722.25/x
  3. Step 3: Cross multiply
    54,671.25x = 81,722.25 × 81,722.25
  4. Step 4: Simplify right side
    54,671.25x = 6,678,526,145.06
  5. Step 5: Solve for x
    x = 6,678,526,145.06/54,671.25
  6. Step 6: Final answer
    x = 122,157.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.