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Finding the Third Proportional to 62,740 and 151,738

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Solution

The third proportional to 62,740 and 151,738 is: 366,981.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,740 : 151,738 = 151,738 : x
  2. Step 2: Convert to fraction form
    62,740/151,738 = 151,738/x
  3. Step 3: Cross multiply
    62,740x = 151,738 × 151,738
  4. Step 4: Simplify right side
    62,740x = 23,024,420,644
  5. Step 5: Solve for x
    x = 23,024,420,644/62,740
  6. Step 6: Final answer
    x = 366,981.52

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.