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Finding the Third Proportional to 46,172 and 107,897

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Solution

The third proportional to 46,172 and 107,897 is: 252,139.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,172 : 107,897 = 107,897 : x
  2. Step 2: Convert to fraction form
    46,172/107,897 = 107,897/x
  3. Step 3: Cross multiply
    46,172x = 107,897 × 107,897
  4. Step 4: Simplify right side
    46,172x = 11,641,762,609
  5. Step 5: Solve for x
    x = 11,641,762,609/46,172
  6. Step 6: Final answer
    x = 252,139.02

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.