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Finding the Third Proportional to 85,576 and 206,159

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Solution

The third proportional to 85,576 and 206,159 is: 496,652.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,576 : 206,159 = 206,159 : x
  2. Step 2: Convert to fraction form
    85,576/206,159 = 206,159/x
  3. Step 3: Cross multiply
    85,576x = 206,159 × 206,159
  4. Step 4: Simplify right side
    85,576x = 42,501,533,281
  5. Step 5: Solve for x
    x = 42,501,533,281/85,576
  6. Step 6: Final answer
    x = 496,652.49

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.