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Finding the Third Proportional to 134,571.38 and 206,575.31

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Solution

The third proportional to 134,571.38 and 206,575.31 is: 317,105.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,571.38 : 206,575.31 = 206,575.31 : x
  2. Step 2: Convert to fraction form
    134,571.38/206,575.31 = 206,575.31/x
  3. Step 3: Cross multiply
    134,571.38x = 206,575.31 × 206,575.31
  4. Step 4: Simplify right side
    134,571.38x = 42,673,359,734.47
  5. Step 5: Solve for x
    x = 42,673,359,734.47/134,571.38
  6. Step 6: Final answer
    x = 317,105.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.