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Finding the Third Proportional to 44,031 and 95,838

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Solution

The third proportional to 44,031 and 95,838 is: 208,601.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,031 : 95,838 = 95,838 : x
  2. Step 2: Convert to fraction form
    44,031/95,838 = 95,838/x
  3. Step 3: Cross multiply
    44,031x = 95,838 × 95,838
  4. Step 4: Simplify right side
    44,031x = 9,184,922,244
  5. Step 5: Solve for x
    x = 9,184,922,244/44,031
  6. Step 6: Final answer
    x = 208,601.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.