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Finding the Third Proportional to 55,179 and 85,595

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Solution

The third proportional to 55,179 and 85,595 is: 132,777.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,179 : 85,595 = 85,595 : x
  2. Step 2: Convert to fraction form
    55,179/85,595 = 85,595/x
  3. Step 3: Cross multiply
    55,179x = 85,595 × 85,595
  4. Step 4: Simplify right side
    55,179x = 7,326,504,025
  5. Step 5: Solve for x
    x = 7,326,504,025/55,179
  6. Step 6: Final answer
    x = 132,777.04

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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.