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Finding the Third Proportional to 51,331 and 111,430

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Solution

The third proportional to 51,331 and 111,430 is: 241,893.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,331 : 111,430 = 111,430 : x
  2. Step 2: Convert to fraction form
    51,331/111,430 = 111,430/x
  3. Step 3: Cross multiply
    51,331x = 111,430 × 111,430
  4. Step 4: Simplify right side
    51,331x = 12,416,644,900
  5. Step 5: Solve for x
    x = 12,416,644,900/51,331
  6. Step 6: Final answer
    x = 241,893.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.