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Finding the Third Proportional to 71,934.75 and 158,145.75

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Solution

The third proportional to 71,934.75 and 158,145.75 is: 347,677.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,934.75 : 158,145.75 = 158,145.75 : x
  2. Step 2: Convert to fraction form
    71,934.75/158,145.75 = 158,145.75/x
  3. Step 3: Cross multiply
    71,934.75x = 158,145.75 × 158,145.75
  4. Step 4: Simplify right side
    71,934.75x = 25,010,078,243.06
  5. Step 5: Solve for x
    x = 25,010,078,243.06/71,934.75
  6. Step 6: Final answer
    x = 347,677.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.