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Finding the Third Proportional to 51,122 and 111,539

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Solution

The third proportional to 51,122 and 111,539 is: 243,358.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,122 : 111,539 = 111,539 : x
  2. Step 2: Convert to fraction form
    51,122/111,539 = 111,539/x
  3. Step 3: Cross multiply
    51,122x = 111,539 × 111,539
  4. Step 4: Simplify right side
    51,122x = 12,440,948,521
  5. Step 5: Solve for x
    x = 12,440,948,521/51,122
  6. Step 6: Final answer
    x = 243,358.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.