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Finding the Third Proportional to 55,162.13 and 82,668.94

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Solution

The third proportional to 55,162.13 and 82,668.94 is: 123,892.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,162.13 : 82,668.94 = 82,668.94 : x
  2. Step 2: Convert to fraction form
    55,162.13/82,668.94 = 82,668.94/x
  3. Step 3: Cross multiply
    55,162.13x = 82,668.94 × 82,668.94
  4. Step 4: Simplify right side
    55,162.13x = 6,834,153,227.38
  5. Step 5: Solve for x
    x = 6,834,153,227.38/55,162.13
  6. Step 6: Final answer
    x = 123,892.13

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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.