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Finding the Third Proportional to 62,013 and 134,595

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Solution

The third proportional to 62,013 and 134,595 is: 292,129.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,013 : 134,595 = 134,595 : x
  2. Step 2: Convert to fraction form
    62,013/134,595 = 134,595/x
  3. Step 3: Cross multiply
    62,013x = 134,595 × 134,595
  4. Step 4: Simplify right side
    62,013x = 18,115,814,025
  5. Step 5: Solve for x
    x = 18,115,814,025/62,013
  6. Step 6: Final answer
    x = 292,129.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.