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Finding the Third Proportional to 85,585 and 133,041

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Solution

The third proportional to 85,585 and 133,041 is: 206,810.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,585 : 133,041 = 133,041 : x
  2. Step 2: Convert to fraction form
    85,585/133,041 = 133,041/x
  3. Step 3: Cross multiply
    85,585x = 133,041 × 133,041
  4. Step 4: Simplify right side
    85,585x = 17,699,907,681
  5. Step 5: Solve for x
    x = 17,699,907,681/85,585
  6. Step 6: Final answer
    x = 206,810.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.