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Finding the Third Proportional to 49,301 and 107,982

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Solution

The third proportional to 49,301 and 107,982 is: 236,508.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,301 : 107,982 = 107,982 : x
  2. Step 2: Convert to fraction form
    49,301/107,982 = 107,982/x
  3. Step 3: Cross multiply
    49,301x = 107,982 × 107,982
  4. Step 4: Simplify right side
    49,301x = 11,660,112,324
  5. Step 5: Solve for x
    x = 11,660,112,324/49,301
  6. Step 6: Final answer
    x = 236,508.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.