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Finding the Third Proportional to 78,552.75 and 166,204.50

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Solution

The third proportional to 78,552.75 and 166,204.50 is: 351,660.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,552.75 : 166,204.50 = 166,204.50 : x
  2. Step 2: Convert to fraction form
    78,552.75/166,204.50 = 166,204.50/x
  3. Step 3: Cross multiply
    78,552.75x = 166,204.50 × 166,204.50
  4. Step 4: Simplify right side
    78,552.75x = 27,623,935,820.25
  5. Step 5: Solve for x
    x = 27,623,935,820.25/78,552.75
  6. Step 6: Final answer
    x = 351,660.96

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Why These Related Problems?

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