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Finding the Third Proportional to 63,798 and 149,016

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Solution

The third proportional to 63,798 and 149,016 is: 348,063.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,798 : 149,016 = 149,016 : x
  2. Step 2: Convert to fraction form
    63,798/149,016 = 149,016/x
  3. Step 3: Cross multiply
    63,798x = 149,016 × 149,016
  4. Step 4: Simplify right side
    63,798x = 22,205,768,256
  5. Step 5: Solve for x
    x = 22,205,768,256/63,798
  6. Step 6: Final answer
    x = 348,063.71

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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.