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Finding the Third Proportional to 63,793 and 149,002

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Solution

The third proportional to 63,793 and 149,002 is: 348,025.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,793 : 149,002 = 149,002 : x
  2. Step 2: Convert to fraction form
    63,793/149,002 = 149,002/x
  3. Step 3: Cross multiply
    63,793x = 149,002 × 149,002
  4. Step 4: Simplify right side
    63,793x = 22,201,596,004
  5. Step 5: Solve for x
    x = 22,201,596,004/63,793
  6. Step 6: Final answer
    x = 348,025.58

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.