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Finding the Third Proportional to 45,906 and 97,324

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Solution

The third proportional to 45,906 and 97,324 is: 206,333.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,906 : 97,324 = 97,324 : x
  2. Step 2: Convert to fraction form
    45,906/97,324 = 97,324/x
  3. Step 3: Cross multiply
    45,906x = 97,324 × 97,324
  4. Step 4: Simplify right side
    45,906x = 9,471,960,976
  5. Step 5: Solve for x
    x = 9,471,960,976/45,906
  6. Step 6: Final answer
    x = 206,333.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.