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Finding the Third Proportional to 61,443 and 129,069

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Solution

The third proportional to 61,443 and 129,069 is: 271,126.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,443 : 129,069 = 129,069 : x
  2. Step 2: Convert to fraction form
    61,443/129,069 = 129,069/x
  3. Step 3: Cross multiply
    61,443x = 129,069 × 129,069
  4. Step 4: Simplify right side
    61,443x = 16,658,806,761
  5. Step 5: Solve for x
    x = 16,658,806,761/61,443
  6. Step 6: Final answer
    x = 271,126.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.