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Finding the Third Proportional to 95,820 and 201,571

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Solution

The third proportional to 95,820 and 201,571 is: 424,033.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,820 : 201,571 = 201,571 : x
  2. Step 2: Convert to fraction form
    95,820/201,571 = 201,571/x
  3. Step 3: Cross multiply
    95,820x = 201,571 × 201,571
  4. Step 4: Simplify right side
    95,820x = 40,630,868,041
  5. Step 5: Solve for x
    x = 40,630,868,041/95,820
  6. Step 6: Final answer
    x = 424,033.27

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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.