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Finding the Third Proportional to 45,458 and 99,177

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Solution

The third proportional to 45,458 and 99,177 is: 216,377.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,458 : 99,177 = 99,177 : x
  2. Step 2: Convert to fraction form
    45,458/99,177 = 99,177/x
  3. Step 3: Cross multiply
    45,458x = 99,177 × 99,177
  4. Step 4: Simplify right side
    45,458x = 9,836,077,329
  5. Step 5: Solve for x
    x = 9,836,077,329/45,458
  6. Step 6: Final answer
    x = 216,377.26

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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.