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Finding the Third Proportional to 51,004 and 110,897

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Solution

The third proportional to 51,004 and 110,897 is: 241,121.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,004 : 110,897 = 110,897 : x
  2. Step 2: Convert to fraction form
    51,004/110,897 = 110,897/x
  3. Step 3: Cross multiply
    51,004x = 110,897 × 110,897
  4. Step 4: Simplify right side
    51,004x = 12,298,144,609
  5. Step 5: Solve for x
    x = 12,298,144,609/51,004
  6. Step 6: Final answer
    x = 241,121.18

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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.