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Finding the Third Proportional to 95,527.50 and 200,349

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Solution

The third proportional to 95,527.50 and 200,349 is: 420,190.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,527.50 : 200,349 = 200,349 : x
  2. Step 2: Convert to fraction form
    95,527.50/200,349 = 200,349/x
  3. Step 3: Cross multiply
    95,527.50x = 200,349 × 200,349
  4. Step 4: Simplify right side
    95,527.50x = 40,139,721,801
  5. Step 5: Solve for x
    x = 40,139,721,801/95,527.50
  6. Step 6: Final answer
    x = 420,190.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.