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Finding the Third Proportional to 82,764 and 124,119

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Solution

The third proportional to 82,764 and 124,119 is: 186,138.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,764 : 124,119 = 124,119 : x
  2. Step 2: Convert to fraction form
    82,764/124,119 = 124,119/x
  3. Step 3: Cross multiply
    82,764x = 124,119 × 124,119
  4. Step 4: Simplify right side
    82,764x = 15,405,526,161
  5. Step 5: Solve for x
    x = 15,405,526,161/82,764
  6. Step 6: Final answer
    x = 186,138.01

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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.