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Finding the Third Proportional to 45,104 and 96,466

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Solution

The third proportional to 45,104 and 96,466 is: 206,316.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,104 : 96,466 = 96,466 : x
  2. Step 2: Convert to fraction form
    45,104/96,466 = 96,466/x
  3. Step 3: Cross multiply
    45,104x = 96,466 × 96,466
  4. Step 4: Simplify right side
    45,104x = 9,305,689,156
  5. Step 5: Solve for x
    x = 9,305,689,156/45,104
  6. Step 6: Final answer
    x = 206,316.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.