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Finding the Third Proportional to 91,772.75 and 170,194.75

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Solution

The third proportional to 91,772.75 and 170,194.75 is: 315,630.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,772.75 : 170,194.75 = 170,194.75 : x
  2. Step 2: Convert to fraction form
    91,772.75/170,194.75 = 170,194.75/x
  3. Step 3: Cross multiply
    91,772.75x = 170,194.75 × 170,194.75
  4. Step 4: Simplify right side
    91,772.75x = 28,966,252,927.56
  5. Step 5: Solve for x
    x = 28,966,252,927.56/91,772.75
  6. Step 6: Final answer
    x = 315,630.22

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.