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Finding the Third Proportional to 95,071 and 206,564

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Solution

The third proportional to 95,071 and 206,564 is: 448,808.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,071 : 206,564 = 206,564 : x
  2. Step 2: Convert to fraction form
    95,071/206,564 = 206,564/x
  3. Step 3: Cross multiply
    95,071x = 206,564 × 206,564
  4. Step 4: Simplify right side
    95,071x = 42,668,686,096
  5. Step 5: Solve for x
    x = 42,668,686,096/95,071
  6. Step 6: Final answer
    x = 448,808.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.