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Finding the Third Proportional to 62,863 and 135,567

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Solution

The third proportional to 62,863 and 135,567 is: 292,356.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,863 : 135,567 = 135,567 : x
  2. Step 2: Convert to fraction form
    62,863/135,567 = 135,567/x
  3. Step 3: Cross multiply
    62,863x = 135,567 × 135,567
  4. Step 4: Simplify right side
    62,863x = 18,378,411,489
  5. Step 5: Solve for x
    x = 18,378,411,489/62,863
  6. Step 6: Final answer
    x = 292,356.58

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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.