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Finding the Third Proportional to 62,936 and 135,704

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Solution

The third proportional to 62,936 and 135,704 is: 292,607.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,936 : 135,704 = 135,704 : x
  2. Step 2: Convert to fraction form
    62,936/135,704 = 135,704/x
  3. Step 3: Cross multiply
    62,936x = 135,704 × 135,704
  4. Step 4: Simplify right side
    62,936x = 18,415,575,616
  5. Step 5: Solve for x
    x = 18,415,575,616/62,936
  6. Step 6: Final answer
    x = 292,607.98

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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.