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Finding the Third Proportional to 108,513 and 165,897

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Solution

The third proportional to 108,513 and 165,897 is: 253,626.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,513 : 165,897 = 165,897 : x
  2. Step 2: Convert to fraction form
    108,513/165,897 = 165,897/x
  3. Step 3: Cross multiply
    108,513x = 165,897 × 165,897
  4. Step 4: Simplify right side
    108,513x = 27,521,814,609
  5. Step 5: Solve for x
    x = 27,521,814,609/108,513
  6. Step 6: Final answer
    x = 253,626.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.