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Finding the Third Proportional to 78,934.50 and 167,725.69

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Solution

The third proportional to 78,934.50 and 167,725.69 is: 356,395.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,934.50 : 167,725.69 = 167,725.69 : x
  2. Step 2: Convert to fraction form
    78,934.50/167,725.69 = 167,725.69/x
  3. Step 3: Cross multiply
    78,934.50x = 167,725.69 × 167,725.69
  4. Step 4: Simplify right side
    78,934.50x = 28,131,906,247.35
  5. Step 5: Solve for x
    x = 28,131,906,247.35/78,934.50
  6. Step 6: Final answer
    x = 356,395.57

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.