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Finding the Third Proportional to 57,049.95 and 122,506.17

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Solution

The third proportional to 57,049.95 and 122,506.17 is: 263,063.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,049.95 : 122,506.17 = 122,506.17 : x
  2. Step 2: Convert to fraction form
    57,049.95/122,506.17 = 122,506.17/x
  3. Step 3: Cross multiply
    57,049.95x = 122,506.17 × 122,506.17
  4. Step 4: Simplify right side
    57,049.95x = 15,007,762,147.47
  5. Step 5: Solve for x
    x = 15,007,762,147.47/57,049.95
  6. Step 6: Final answer
    x = 263,063.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.