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Finding the Third Proportional to 55,307 and 85,059

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Solution

The third proportional to 55,307 and 85,059 is: 130,815.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,307 : 85,059 = 85,059 : x
  2. Step 2: Convert to fraction form
    55,307/85,059 = 85,059/x
  3. Step 3: Cross multiply
    55,307x = 85,059 × 85,059
  4. Step 4: Simplify right side
    55,307x = 7,235,033,481
  5. Step 5: Solve for x
    x = 7,235,033,481/55,307
  6. Step 6: Final answer
    x = 130,815.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.