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Finding the Third Proportional to 95,825 and 201,581

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Solution

The third proportional to 95,825 and 201,581 is: 424,053.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,825 : 201,581 = 201,581 : x
  2. Step 2: Convert to fraction form
    95,825/201,581 = 201,581/x
  3. Step 3: Cross multiply
    95,825x = 201,581 × 201,581
  4. Step 4: Simplify right side
    95,825x = 40,634,899,561
  5. Step 5: Solve for x
    x = 40,634,899,561/95,825
  6. Step 6: Final answer
    x = 424,053.22

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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.