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Finding the Third Proportional to 95,821 and 201,570

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Solution

The third proportional to 95,821 and 201,570 is: 424,024.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,821 : 201,570 = 201,570 : x
  2. Step 2: Convert to fraction form
    95,821/201,570 = 201,570/x
  3. Step 3: Cross multiply
    95,821x = 201,570 × 201,570
  4. Step 4: Simplify right side
    95,821x = 40,630,464,900
  5. Step 5: Solve for x
    x = 40,630,464,900/95,821
  6. Step 6: Final answer
    x = 424,024.64

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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.