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Finding the Third Proportional to 71,076.38 and 118,441.13

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Solution

The third proportional to 71,076.38 and 118,441.13 is: 197,369.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,076.38 : 118,441.13 = 118,441.13 : x
  2. Step 2: Convert to fraction form
    71,076.38/118,441.13 = 118,441.13/x
  3. Step 3: Cross multiply
    71,076.38x = 118,441.13 × 118,441.13
  4. Step 4: Simplify right side
    71,076.38x = 14,028,300,091.27
  5. Step 5: Solve for x
    x = 14,028,300,091.27/71,076.38
  6. Step 6: Final answer
    x = 197,369.38

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.