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Finding the Third Proportional to 83,323.69 and 125,706.94

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Solution

The third proportional to 83,323.69 and 125,706.94 is: 189,648.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,323.69 : 125,706.94 = 125,706.94 : x
  2. Step 2: Convert to fraction form
    83,323.69/125,706.94 = 125,706.94/x
  3. Step 3: Cross multiply
    83,323.69x = 125,706.94 × 125,706.94
  4. Step 4: Simplify right side
    83,323.69x = 15,802,234,135.63
  5. Step 5: Solve for x
    x = 15,802,234,135.63/83,323.69
  6. Step 6: Final answer
    x = 189,648.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.