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Finding the Third Proportional to 44,291 and 95,148

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Solution

The third proportional to 44,291 and 95,148 is: 204,401.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,291 : 95,148 = 95,148 : x
  2. Step 2: Convert to fraction form
    44,291/95,148 = 95,148/x
  3. Step 3: Cross multiply
    44,291x = 95,148 × 95,148
  4. Step 4: Simplify right side
    44,291x = 9,053,141,904
  5. Step 5: Solve for x
    x = 9,053,141,904/44,291
  6. Step 6: Final answer
    x = 204,401.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.