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Finding the Third Proportional to 53,104 and 81,330

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Solution

The third proportional to 53,104 and 81,330 is: 124,558.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,104 : 81,330 = 81,330 : x
  2. Step 2: Convert to fraction form
    53,104/81,330 = 81,330/x
  3. Step 3: Cross multiply
    53,104x = 81,330 × 81,330
  4. Step 4: Simplify right side
    53,104x = 6,614,568,900
  5. Step 5: Solve for x
    x = 6,614,568,900/53,104
  6. Step 6: Final answer
    x = 124,558.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.