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Finding the Third Proportional to 72,205.17 and 168,706.55

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Solution

The third proportional to 72,205.17 and 168,706.55 is: 394,180.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,205.17 : 168,706.55 = 168,706.55 : x
  2. Step 2: Convert to fraction form
    72,205.17/168,706.55 = 168,706.55/x
  3. Step 3: Cross multiply
    72,205.17x = 168,706.55 × 168,706.55
  4. Step 4: Simplify right side
    72,205.17x = 28,461,898,958.49
  5. Step 5: Solve for x
    x = 28,461,898,958.49/72,205.17
  6. Step 6: Final answer
    x = 394,180.89

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.