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Finding the Third Proportional to 91,087.50 and 195,783

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Solution

The third proportional to 91,087.50 and 195,783 is: 420,814.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,087.50 : 195,783 = 195,783 : x
  2. Step 2: Convert to fraction form
    91,087.50/195,783 = 195,783/x
  3. Step 3: Cross multiply
    91,087.50x = 195,783 × 195,783
  4. Step 4: Simplify right side
    91,087.50x = 38,330,983,089
  5. Step 5: Solve for x
    x = 38,330,983,089/91,087.50
  6. Step 6: Final answer
    x = 420,814.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.