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Finding the Third Proportional to 45,910 and 95,943

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Solution

The third proportional to 45,910 and 95,943 is: 200,502.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,910 : 95,943 = 95,943 : x
  2. Step 2: Convert to fraction form
    45,910/95,943 = 95,943/x
  3. Step 3: Cross multiply
    45,910x = 95,943 × 95,943
  4. Step 4: Simplify right side
    45,910x = 9,205,059,249
  5. Step 5: Solve for x
    x = 9,205,059,249/45,910
  6. Step 6: Final answer
    x = 200,502.27

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.