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Finding the Third Proportional to 90,532.69 and 140,975.44

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Solution

The third proportional to 90,532.69 and 140,975.44 is: 219,523.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,532.69 : 140,975.44 = 140,975.44 : x
  2. Step 2: Convert to fraction form
    90,532.69/140,975.44 = 140,975.44/x
  3. Step 3: Cross multiply
    90,532.69x = 140,975.44 × 140,975.44
  4. Step 4: Simplify right side
    90,532.69x = 19,874,073,978.32
  5. Step 5: Solve for x
    x = 19,874,073,978.32/90,532.69
  6. Step 6: Final answer
    x = 219,523.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.