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Finding the Third Proportional to 47,965 and 112,031

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Solution

The third proportional to 47,965 and 112,031 is: 261,668.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,965 : 112,031 = 112,031 : x
  2. Step 2: Convert to fraction form
    47,965/112,031 = 112,031/x
  3. Step 3: Cross multiply
    47,965x = 112,031 × 112,031
  4. Step 4: Simplify right side
    47,965x = 12,550,944,961
  5. Step 5: Solve for x
    x = 12,550,944,961/47,965
  6. Step 6: Final answer
    x = 261,668.82

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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.