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Finding the Third Proportional to 61,131 and 133,926

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Solution

The third proportional to 61,131 and 133,926 is: 293,405.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,131 : 133,926 = 133,926 : x
  2. Step 2: Convert to fraction form
    61,131/133,926 = 133,926/x
  3. Step 3: Cross multiply
    61,131x = 133,926 × 133,926
  4. Step 4: Simplify right side
    61,131x = 17,936,173,476
  5. Step 5: Solve for x
    x = 17,936,173,476/61,131
  6. Step 6: Final answer
    x = 293,405.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.