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Finding the Third Proportional to 124,941 and 201,211

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Solution

The third proportional to 124,941 and 201,211 is: 324,039.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,941 : 201,211 = 201,211 : x
  2. Step 2: Convert to fraction form
    124,941/201,211 = 201,211/x
  3. Step 3: Cross multiply
    124,941x = 201,211 × 201,211
  4. Step 4: Simplify right side
    124,941x = 40,485,866,521
  5. Step 5: Solve for x
    x = 40,485,866,521/124,941
  6. Step 6: Final answer
    x = 324,039.88

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.