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Finding the Third Proportional to 62,824 and 135,536

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Solution

The third proportional to 62,824 and 135,536 is: 292,404.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,824 : 135,536 = 135,536 : x
  2. Step 2: Convert to fraction form
    62,824/135,536 = 135,536/x
  3. Step 3: Cross multiply
    62,824x = 135,536 × 135,536
  4. Step 4: Simplify right side
    62,824x = 18,370,007,296
  5. Step 5: Solve for x
    x = 18,370,007,296/62,824
  6. Step 6: Final answer
    x = 292,404.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.