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Finding the Third Proportional to 55,006 and 85,795

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Solution

The third proportional to 55,006 and 85,795 is: 133,817.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,006 : 85,795 = 85,795 : x
  2. Step 2: Convert to fraction form
    55,006/85,795 = 85,795/x
  3. Step 3: Cross multiply
    55,006x = 85,795 × 85,795
  4. Step 4: Simplify right side
    55,006x = 7,360,782,025
  5. Step 5: Solve for x
    x = 7,360,782,025/55,006
  6. Step 6: Final answer
    x = 133,817.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.