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Finding the Third Proportional to 62,519 and 135,013

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Solution

The third proportional to 62,519 and 135,013 is: 291,567.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,519 : 135,013 = 135,013 : x
  2. Step 2: Convert to fraction form
    62,519/135,013 = 135,013/x
  3. Step 3: Cross multiply
    62,519x = 135,013 × 135,013
  4. Step 4: Simplify right side
    62,519x = 18,228,510,169
  5. Step 5: Solve for x
    x = 18,228,510,169/62,519
  6. Step 6: Final answer
    x = 291,567.53

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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.