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Finding the Third Proportional to 49,720 and 107,648

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Solution

The third proportional to 49,720 and 107,648 is: 233,067.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,720 : 107,648 = 107,648 : x
  2. Step 2: Convert to fraction form
    49,720/107,648 = 107,648/x
  3. Step 3: Cross multiply
    49,720x = 107,648 × 107,648
  4. Step 4: Simplify right side
    49,720x = 11,588,091,904
  5. Step 5: Solve for x
    x = 11,588,091,904/49,720
  6. Step 6: Final answer
    x = 233,067.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.