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Finding the Third Proportional to 95,859.50 and 201,632

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Solution

The third proportional to 95,859.50 and 201,632 is: 424,115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,859.50 : 201,632 = 201,632 : x
  2. Step 2: Convert to fraction form
    95,859.50/201,632 = 201,632/x
  3. Step 3: Cross multiply
    95,859.50x = 201,632 × 201,632
  4. Step 4: Simplify right side
    95,859.50x = 40,655,463,424
  5. Step 5: Solve for x
    x = 40,655,463,424/95,859.50
  6. Step 6: Final answer
    x = 424,115.12

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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.