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Finding the Third Proportional to 95,825 and 201,583

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Solution

The third proportional to 95,825 and 201,583 is: 424,061.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,825 : 201,583 = 201,583 : x
  2. Step 2: Convert to fraction form
    95,825/201,583 = 201,583/x
  3. Step 3: Cross multiply
    95,825x = 201,583 × 201,583
  4. Step 4: Simplify right side
    95,825x = 40,635,705,889
  5. Step 5: Solve for x
    x = 40,635,705,889/95,825
  6. Step 6: Final answer
    x = 424,061.63

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