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Finding the Third Proportional to 63,648 and 148,000

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Solution

The third proportional to 63,648 and 148,000 is: 344,142.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,648 : 148,000 = 148,000 : x
  2. Step 2: Convert to fraction form
    63,648/148,000 = 148,000/x
  3. Step 3: Cross multiply
    63,648x = 148,000 × 148,000
  4. Step 4: Simplify right side
    63,648x = 21,904,000,000
  5. Step 5: Solve for x
    x = 21,904,000,000/63,648
  6. Step 6: Final answer
    x = 344,142.79

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.