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Finding the Third Proportional to 54,902 and 82,114

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Solution

The third proportional to 54,902 and 82,114 is: 122,813.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,902 : 82,114 = 82,114 : x
  2. Step 2: Convert to fraction form
    54,902/82,114 = 82,114/x
  3. Step 3: Cross multiply
    54,902x = 82,114 × 82,114
  4. Step 4: Simplify right side
    54,902x = 6,742,708,996
  5. Step 5: Solve for x
    x = 6,742,708,996/54,902
  6. Step 6: Final answer
    x = 122,813.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.