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Finding the Third Proportional to 45,448 and 95,072

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Solution

The third proportional to 45,448 and 95,072 is: 198,879.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,448 : 95,072 = 95,072 : x
  2. Step 2: Convert to fraction form
    45,448/95,072 = 95,072/x
  3. Step 3: Cross multiply
    45,448x = 95,072 × 95,072
  4. Step 4: Simplify right side
    45,448x = 9,038,685,184
  5. Step 5: Solve for x
    x = 9,038,685,184/45,448
  6. Step 6: Final answer
    x = 198,879.71

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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.