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Finding the Third Proportional to 62,420 and 135,946

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Solution

The third proportional to 62,420 and 135,946 is: 296,080.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,420 : 135,946 = 135,946 : x
  2. Step 2: Convert to fraction form
    62,420/135,946 = 135,946/x
  3. Step 3: Cross multiply
    62,420x = 135,946 × 135,946
  4. Step 4: Simplify right side
    62,420x = 18,481,314,916
  5. Step 5: Solve for x
    x = 18,481,314,916/62,420
  6. Step 6: Final answer
    x = 296,080.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.