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Finding the Third Proportional to 63,795 and 149,007

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Solution

The third proportional to 63,795 and 149,007 is: 348,038.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,795 : 149,007 = 149,007 : x
  2. Step 2: Convert to fraction form
    63,795/149,007 = 149,007/x
  3. Step 3: Cross multiply
    63,795x = 149,007 × 149,007
  4. Step 4: Simplify right side
    63,795x = 22,203,086,049
  5. Step 5: Solve for x
    x = 22,203,086,049/63,795
  6. Step 6: Final answer
    x = 348,038.03

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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.