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Finding the Third Proportional to 79,942.50 and 170,820

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Solution

The third proportional to 79,942.50 and 170,820 is: 365,005.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,942.50 : 170,820 = 170,820 : x
  2. Step 2: Convert to fraction form
    79,942.50/170,820 = 170,820/x
  3. Step 3: Cross multiply
    79,942.50x = 170,820 × 170,820
  4. Step 4: Simplify right side
    79,942.50x = 29,179,472,400
  5. Step 5: Solve for x
    x = 29,179,472,400/79,942.50
  6. Step 6: Final answer
    x = 365,005.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.