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Finding the Third Proportional to 90,339.75 and 191,524.50

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Solution

The third proportional to 90,339.75 and 191,524.50 is: 406,040.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,339.75 : 191,524.50 = 191,524.50 : x
  2. Step 2: Convert to fraction form
    90,339.75/191,524.50 = 191,524.50/x
  3. Step 3: Cross multiply
    90,339.75x = 191,524.50 × 191,524.50
  4. Step 4: Simplify right side
    90,339.75x = 36,681,634,100.25
  5. Step 5: Solve for x
    x = 36,681,634,100.25/90,339.75
  6. Step 6: Final answer
    x = 406,040.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.