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Finding the Third Proportional to 53,296.50 and 82,131

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Solution

The third proportional to 53,296.50 and 82,131 is: 126,565.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,296.50 : 82,131 = 82,131 : x
  2. Step 2: Convert to fraction form
    53,296.50/82,131 = 82,131/x
  3. Step 3: Cross multiply
    53,296.50x = 82,131 × 82,131
  4. Step 4: Simplify right side
    53,296.50x = 6,745,501,161
  5. Step 5: Solve for x
    x = 6,745,501,161/53,296.50
  6. Step 6: Final answer
    x = 126,565.56

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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.