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Finding the Third Proportional to 51,733.69 and 81,207.56

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Solution

The third proportional to 51,733.69 and 81,207.56 is: 127,473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,733.69 : 81,207.56 = 81,207.56 : x
  2. Step 2: Convert to fraction form
    51,733.69/81,207.56 = 81,207.56/x
  3. Step 3: Cross multiply
    51,733.69x = 81,207.56 × 81,207.56
  4. Step 4: Simplify right side
    51,733.69x = 6,594,668,207.19
  5. Step 5: Solve for x
    x = 6,594,668,207.19/51,733.69
  6. Step 6: Final answer
    x = 127,473.38

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.